What is the Greatest Common Factor of 53492 and 53504?

Greatest common factor (GCF) of 53492 and 53504 is 4.

GCF(53492,53504) = 4

We will now calculate the prime factors of 53492 and 53504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53492 and 53504.

How to find the GCF of 53492 and 53504?

We will first find the prime factorization of 53492 and 53504. After we will calculate the factors of 53492 and 53504 and find the biggest common factor number .

Step-1: Prime Factorization of 53492

Prime factors of 53492 are 2, 43, 311. Prime factorization of 53492 in exponential form is:

53492 = 2² × 43¹ × 311¹

Step-2: 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-3: Factors of 53492

List of positive integer factors of 53492 that divides 53492 without a remainder.

1, 2, 4, 43, 86, 172, 311, 622, 1244, 13373, 26746

Step-4: Factors of 53504

List of positive integer factors of 53504 that divides 53492 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53492 and 53504. The biggest common factor number is the GCF number.
So the greatest common factor 53492 and 53504 is 4.

Also check out the Least Common Multiple of 53492 and 53504