GCF for 30 and 100

What is the Greatest Common Factor of 30 and 100?

Answer: GCF of 30 and 100 is 10

(Ten)

Finding GCF for 30 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 30 and 100 is 10

Finding GCF for 30 and 100 by Prime Factorization

The second method to find GCF for numbers 30 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 100: 2, 2, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 Γ— 5 = 10

GCF Table

Number 1Number 2GCF
15100
16100
171001
18100
191001
20100
211001
22100
231001
24100
25100
26100
271001
281004
291001
30100
311001
32100
331001
341002
35100
36100
371001
381002
391001
40100
411001
42100
431001
44100

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 Factor of 30 and 100? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '100'). 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

FAQ

What is the Greatest Common Factor of 30 and 100?

GCF of 30 and 100 is 10