What is the Greatest Common Factor of 39171 and 39182?

Greatest common factor (GCF) of 39171 and 39182 is 11.

GCF(39171,39182) = 11

We will now calculate the prime factors of 39171 and 39182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39171 and 39182.

How to find the GCF of 39171 and 39182?

We will first find the prime factorization of 39171 and 39182. After we will calculate the factors of 39171 and 39182 and find the biggest common factor number .

Step-1: Prime Factorization of 39171

Prime factors of 39171 are 3, 11, 1187. Prime factorization of 39171 in exponential form is:

39171 = 3¹ × 11¹ × 1187¹

Step-2: Prime Factorization of 39182

Prime factors of 39182 are 2, 11, 13, 137. Prime factorization of 39182 in exponential form is:

39182 = 2¹ × 11¹ × 13¹ × 137¹

Step-3: Factors of 39171

List of positive integer factors of 39171 that divides 39171 without a remainder.

1, 3, 11, 33, 1187, 3561, 13057

Step-4: Factors of 39182

List of positive integer factors of 39182 that divides 39171 without a remainder.

1, 2, 11, 13, 22, 26, 137, 143, 274, 286, 1507, 1781, 3014, 3562, 19591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39171 and 39182. The biggest common factor number is the GCF number.
So the greatest common factor 39171 and 39182 is 11.

Also check out the Least Common Multiple of 39171 and 39182