What is the Greatest Common Factor of 69314 and 69328?

Greatest common factor (GCF) of 69314 and 69328 is 14.

GCF(69314,69328) = 14

We will now calculate the prime factors of 69314 and 69328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69314 and 69328.

How to find the GCF of 69314 and 69328?

We will first find the prime factorization of 69314 and 69328. After we will calculate the factors of 69314 and 69328 and find the biggest common factor number .

Step-1: Prime Factorization of 69314

Prime factors of 69314 are 2, 7, 4951. Prime factorization of 69314 in exponential form is:

69314 = 2¹ × 7¹ × 4951¹

Step-2: Prime Factorization of 69328

Prime factors of 69328 are 2, 7, 619. Prime factorization of 69328 in exponential form is:

69328 = 2⁴ × 7¹ × 619¹

Step-3: Factors of 69314

List of positive integer factors of 69314 that divides 69314 without a remainder.

1, 2, 7, 14, 4951, 9902, 34657

Step-4: Factors of 69328

List of positive integer factors of 69328 that divides 69314 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 619, 1238, 2476, 4333, 4952, 8666, 9904, 17332, 34664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69314 and 69328. The biggest common factor number is the GCF number.
So the greatest common factor 69314 and 69328 is 14.

Also check out the Least Common Multiple of 69314 and 69328