What is the Greatest Common Factor of 3172 and 3185?

Greatest common factor (GCF) of 3172 and 3185 is 13.

GCF(3172,3185) = 13

We will now calculate the prime factors of 3172 and 3185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3172 and 3185.

How to find the GCF of 3172 and 3185?

We will first find the prime factorization of 3172 and 3185. After we will calculate the factors of 3172 and 3185 and find the biggest common factor number .

Step-1: Prime Factorization of 3172

Prime factors of 3172 are 2, 13, 61. Prime factorization of 3172 in exponential form is:

3172 = 2² × 13¹ × 61¹

Step-2: Prime Factorization of 3185

Prime factors of 3185 are 5, 7, 13. Prime factorization of 3185 in exponential form is:

3185 = 5¹ × 7² × 13¹

Step-3: Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586

Step-4: Factors of 3185

List of positive integer factors of 3185 that divides 3172 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3172 and 3185. The biggest common factor number is the GCF number.
So the greatest common factor 3172 and 3185 is 13.

Also check out the Least Common Multiple of 3172 and 3185