What is the Greatest Common Factor of 53485 and 53504?

Greatest common factor (GCF) of 53485 and 53504 is 19.

GCF(53485,53504) = 19

We will now calculate the prime factors of 53485 and 53504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53485 and 53504.

How to find the GCF of 53485 and 53504?

We will first find the prime factorization of 53485 and 53504. After we will calculate the factors of 53485 and 53504 and find the biggest common factor number .

Step-1: Prime Factorization of 53485

Prime factors of 53485 are 5, 19, 563. Prime factorization of 53485 in exponential form is:

53485 = 5¹ × 19¹ × 563¹

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 53485

List of positive integer factors of 53485 that divides 53485 without a remainder.

1, 5, 19, 95, 563, 2815, 10697

Step-4: Factors of 53504

List of positive integer factors of 53504 that divides 53485 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 53485 and 53504. The biggest common factor number is the GCF number.
So the greatest common factor 53485 and 53504 is 19.

Also check out the Least Common Multiple of 53485 and 53504