GCF for 102 and 204

What is the Greatest common Divisor of 102 and 204?

Answer: GCF of 102 and 204 is 102

(One hundred two)

Finding GCF for 102 and 204 using all factors (divisors) listing

The first method to find GCF for numbers 102 and 204 is to list all factors for both numbers and pick the highest common one:

All factors of 102: 1, 2, 3, 6, 17, 34, 51, 102

All factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

So the Greatest Common Factor for 102 and 204 is 102

Finding GCF for 102 and 204 by Prime Factorization

The second method to find GCF for numbers 102 and 204 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 102: 2, 3, 17

All Prime Factors of 204: 2, 2, 3, 17

As we can see there are Prime Factors common to both numbers: 2, 3, 17

Now we need to multiply them to find GCF: 2 × 3 × 17 = 102

See Also

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 102 and 204? (The answer is: 102). Select the first number (e.g. '102') and the second number (e.g. '204'). 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

GCF Table

Number 1Number 2GCF
872043
882044
892041
902046
912041
922044
932043
942042
952041
9620412
972041
982042
992043
1002044
1012041
102204
1032041
1042044
1052043
1062042
1072041
10820412
1092041
1102042
1112043
1122044
1132041
1142046
1152041
1162044

FAQ

What is the Greatest common Divisor of 102 and 204?

GCF of 102 and 204 is 102