What is the Greatest Common Factor of 39344 and 39364?

Greatest common factor (GCF) of 39344 and 39364 is 4.

GCF(39344,39364) = 4

We will now calculate the prime factors of 39344 and 39364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39344 and 39364.

How to find the GCF of 39344 and 39364?

We will first find the prime factorization of 39344 and 39364. After we will calculate the factors of 39344 and 39364 and find the biggest common factor number .

Step-1: Prime Factorization of 39344

Prime factors of 39344 are 2, 2459. Prime factorization of 39344 in exponential form is:

39344 = 2⁴ × 2459¹

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 39344

List of positive integer factors of 39344 that divides 39344 without a remainder.

1, 2, 4, 8, 16, 2459, 4918, 9836, 19672

Step-4: Factors of 39364

List of positive integer factors of 39364 that divides 39344 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 39344 and 39364. The biggest common factor number is the GCF number.
So the greatest common factor 39344 and 39364 is 4.

Also check out the Least Common Multiple of 39344 and 39364