What is the Greatest Common Factor of 69322 and 69328?

Greatest common factor (GCF) of 69322 and 69328 is 2.

GCF(69322,69328) = 2

We will now calculate the prime factors of 69322 and 69328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69322 and 69328.

How to find the GCF of 69322 and 69328?

We will first find the prime factorization of 69322 and 69328. After we will calculate the factors of 69322 and 69328 and find the biggest common factor number .

Step-1: Prime Factorization of 69322

Prime factors of 69322 are 2, 11, 23, 137. Prime factorization of 69322 in exponential form is:

69322 = 2¹ × 11¹ × 23¹ × 137¹

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 69322

List of positive integer factors of 69322 that divides 69322 without a remainder.

1, 2, 11, 22, 23, 46, 137, 253, 274, 506, 1507, 3014, 3151, 6302, 34661

Step-4: Factors of 69328

List of positive integer factors of 69328 that divides 69322 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 69322 and 69328. The biggest common factor number is the GCF number.
So the greatest common factor 69322 and 69328 is 2.

Also check out the Least Common Multiple of 69322 and 69328