What is the GCF of 45 and 105

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What is the Greatest common Divisor of 45 and 105?

Answer: GCF of 45 and 105 is 15

(Fifteen)

Finding GCF for 45 and 105 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 105 is to list all factors for both numbers and pick the highest common one:

All factors of 45: 1, 3, 5, 9, 15, 45

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

So the Greatest Common Factor for 45 and 105 is 15

Finding GCF for 45 and 105 by Prime Factorization

The second method to find GCF for numbers 45 and 105 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 45: 3, 3, 5

All Prime Factors of 105: 3, 5, 7

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

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What is the LCM of 45 and 105?

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 45 and 105? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '105'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

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GCF Table

Number 1	Number 2	GCF
30	105	15
31	105	1
32	105	1
33	105	3
34	105	1
35	105	35
36	105	3
37	105	1
38	105	1
39	105	3
40	105	5
41	105	1
42	105	21
43	105	1
44	105	1
45	105	15
46	105	1
47	105	1
48	105	3
49	105	7
50	105	5
51	105	3
52	105	1
53	105	1
54	105	3
55	105	5
56	105	7
57	105	3
58	105	1
59	105	1

GCF for 45 and 105

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 45 and 105?

Finding GCF for 45 and 105 using all factors (divisors) listing

Finding GCF for 45 and 105 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 45 and 105?

See Also

Number 1	Number 2	GCF
30	105	15
31	105	1
32	105	1
33	105	3
34	105	1
35	105	35
36	105	3
37	105	1
38	105	1
39	105	3
40	105	5
41	105	1
42	105	21
43	105	1
44	105	1
45	105	15
46	105	1
47	105	1
48	105	3
49	105	7
50	105	5
51	105	3
52	105	1
53	105	1
54	105	3
55	105	5
56	105	7
57	105	3
58	105	1
59	105	1

Number 1	Number 2	GCF
30	105	15
31	105	1
32	105	1
33	105	3
34	105	1
35	105	35
36	105	3
37	105	1
38	105	1
39	105	3
40	105	5
41	105	1
42	105	21
43	105	1
44	105	1
45	105	15
46	105	1
47	105	1
48	105	3
49	105	7
50	105	5
51	105	3
52	105	1
53	105	1
54	105	3
55	105	5
56	105	7
57	105	3
58	105	1
59	105	1

Number 1	Number 2	GCF
30	105	15
31	105	1
32	105	1
33	105	3
34	105	1
35	105	35
36	105	3
37	105	1
38	105	1
39	105	3
40	105	5
41	105	1
42	105	21
43	105	1
44	105	1
45	105	15
46	105	1
47	105	1
48	105	3
49	105	7
50	105	5
51	105	3
52	105	1
53	105	1
54	105	3
55	105	5
56	105	7
57	105	3
58	105	1
59	105	1