What is the Greatest Common Factor of 69344 and 69364?

Greatest common factor (GCF) of 69344 and 69364 is 4.

GCF(69344,69364) = 4

We will now calculate the prime factors of 69344 and 69364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69344 and 69364.

How to find the GCF of 69344 and 69364?

We will first find the prime factorization of 69344 and 69364. After we will calculate the factors of 69344 and 69364 and find the biggest common factor number .

Step-1: Prime Factorization of 69344

Prime factors of 69344 are 2, 11, 197. Prime factorization of 69344 in exponential form is:

69344 = 2⁵ × 11¹ × 197¹

Step-2: Prime Factorization of 69364

Prime factors of 69364 are 2, 17341. Prime factorization of 69364 in exponential form is:

69364 = 2² × 17341¹

Step-3: Factors of 69344

List of positive integer factors of 69344 that divides 69344 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 197, 352, 394, 788, 1576, 2167, 3152, 4334, 6304, 8668, 17336, 34672

Step-4: Factors of 69364

List of positive integer factors of 69364 that divides 69344 without a remainder.

1, 2, 4, 17341, 34682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69344 and 69364. The biggest common factor number is the GCF number.
So the greatest common factor 69344 and 69364 is 4.

Also check out the Least Common Multiple of 69344 and 69364