What is the Greatest Common Factor of 69344 and 69357?

Greatest common factor (GCF) of 69344 and 69357 is 1.

GCF(69344,69357) = 1

We will now calculate the prime factors of 69344 and 69357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69344 and 69357.

How to find the GCF of 69344 and 69357?

We will first find the prime factorization of 69344 and 69357. After we will calculate the factors of 69344 and 69357 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 69357

Prime factors of 69357 are 3, 61, 379. Prime factorization of 69357 in exponential form is:

69357 = 3¹ × 61¹ × 379¹

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 69357

List of positive integer factors of 69357 that divides 69344 without a remainder.

1, 3, 61, 183, 379, 1137, 23119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69344 and 69357. The biggest common factor number is the GCF number.
So the greatest common factor 69344 and 69357 is 1.

Also check out the Least Common Multiple of 69344 and 69357