GCF for 120 and 200

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 200?

Answer: GCF of 120 and 200 is 40

(Forty)

Finding GCF for 120 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

All factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 120 and 200 is 40

Finding GCF for 120 and 200 by Prime Factorization

The second method to find GCF for numbers 120 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 200: 2, 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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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 120 and 200? (The answer is: 40). Select the first number (e.g. '120') and the second number (e.g. '200'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1052005
1062002
1072001
1082004
1092001
11020010
1112001
1122008
1132001
1142002
1152005
1162004
1172001
1182002
1192001
12020040
1212001
1222002
1232001
1242004
12520025
1262002
1272001
1282008
1292001
13020010
1312001
1322004
1332001
1342002

FAQ

What is the Greatest common Divisor of 120 and 200?

GCF of 120 and 200 is 40

See Also