What is the Greatest Common Factor of 53504 and 53512?

Greatest common factor (GCF) of 53504 and 53512 is 8.

GCF(53504,53512) = 8

We will now calculate the prime factors of 53504 and 53512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53504 and 53512.

How to find the GCF of 53504 and 53512?

We will first find the prime factorization of 53504 and 53512. After we will calculate the factors of 53504 and 53512 and find the biggest common factor number .

Step-1: Prime Factorization of 53504

Prime factors of 53504 are 2, 11, 19. Prime factorization of 53504 in exponential form is:

53504 = 2⁸ × 11¹ × 19¹

Step-2: Prime Factorization of 53512

Prime factors of 53512 are 2, 6689. Prime factorization of 53512 in exponential form is:

53512 = 2³ × 6689¹

Step-3: Factors of 53504

List of positive integer factors of 53504 that divides 53504 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 128, 152, 176, 209, 256, 304, 352, 418, 608, 704, 836, 1216, 1408, 1672, 2432, 2816, 3344, 4864, 6688, 13376, 26752

Step-4: Factors of 53512

List of positive integer factors of 53512 that divides 53504 without a remainder.

1, 2, 4, 8, 6689, 13378, 26756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53504 and 53512. The biggest common factor number is the GCF number.
So the greatest common factor 53504 and 53512 is 8.

Also check out the Least Common Multiple of 53504 and 53512