What is the Greatest Common Factor of 53264 and 53268?

Greatest common factor (GCF) of 53264 and 53268 is 4.

GCF(53264,53268) = 4

We will now calculate the prime factors of 53264 and 53268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53264 and 53268.

How to find the GCF of 53264 and 53268?

We will first find the prime factorization of 53264 and 53268. After we will calculate the factors of 53264 and 53268 and find the biggest common factor number .

Step-1: Prime Factorization of 53264

Prime factors of 53264 are 2, 3329. Prime factorization of 53264 in exponential form is:

53264 = 2⁴ × 3329¹

Step-2: Prime Factorization of 53268

Prime factors of 53268 are 2, 3, 23, 193. Prime factorization of 53268 in exponential form is:

53268 = 2² × 3¹ × 23¹ × 193¹

Step-3: Factors of 53264

List of positive integer factors of 53264 that divides 53264 without a remainder.

1, 2, 4, 8, 16, 3329, 6658, 13316, 26632

Step-4: Factors of 53268

List of positive integer factors of 53268 that divides 53264 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 193, 276, 386, 579, 772, 1158, 2316, 4439, 8878, 13317, 17756, 26634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53264 and 53268. The biggest common factor number is the GCF number.
So the greatest common factor 53264 and 53268 is 4.

Also check out the Least Common Multiple of 53264 and 53268