GCF and LCM Calculator Logo

What is the Greatest Common Factor of 3190 and 3210?

Greatest common factor (GCF) of 3190 and 3210 is 10.

GCF(3190,3210) = 10

We will now calculate the prime factors of 3190 and 3210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3190 and 3210.

GCF Calculator and
and

How to find the GCF of 3190 and 3210?

We will first find the prime factorization of 3190 and 3210. After we will calculate the factors of 3190 and 3210 and find the biggest common factor number .

Step-1: Prime Factorization of 3190

Prime factors of 3190 are 2, 5, 11, 29. Prime factorization of 3190 in exponential form is:

3190 = 21 × 51 × 111 × 291

Step-2: Prime Factorization of 3210

Prime factors of 3210 are 2, 3, 5, 107. Prime factorization of 3210 in exponential form is:

3210 = 21 × 31 × 51 × 1071

Step-3: Factors of 3190

List of positive integer factors of 3190 that divides 3190 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595

Step-4: Factors of 3210

List of positive integer factors of 3210 that divides 3190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3190 and 3210. The biggest common factor number is the GCF number.
So the greatest common factor 3190 and 3210 is 10.

Also check out the Least Common Multiple of 3190 and 3210