What is the Greatest Common Factor of 39351 and 39364?

Greatest common factor (GCF) of 39351 and 39364 is 13.

GCF(39351,39364) = 13

We will now calculate the prime factors of 39351 and 39364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39351 and 39364.

How to find the GCF of 39351 and 39364?

We will first find the prime factorization of 39351 and 39364. After we will calculate the factors of 39351 and 39364 and find the biggest common factor number .

Step-1: Prime Factorization of 39351

Prime factors of 39351 are 3, 13, 1009. Prime factorization of 39351 in exponential form is:

39351 = 3¹ × 13¹ × 1009¹

Step-2: Prime Factorization of 39364

Prime factors of 39364 are 2, 13, 757. Prime factorization of 39364 in exponential form is:

39364 = 2² × 13¹ × 757¹

Step-3: Factors of 39351

List of positive integer factors of 39351 that divides 39351 without a remainder.

1, 3, 13, 39, 1009, 3027, 13117

Step-4: Factors of 39364

List of positive integer factors of 39364 that divides 39351 without a remainder.

1, 2, 4, 13, 26, 52, 757, 1514, 3028, 9841, 19682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39351 and 39364. The biggest common factor number is the GCF number.
So the greatest common factor 39351 and 39364 is 13.

Also check out the Least Common Multiple of 39351 and 39364