What is the Greatest Common Factor of 53504 and 53518?

Greatest common factor (GCF) of 53504 and 53518 is 2.

GCF(53504,53518) = 2

We will now calculate the prime factors of 53504 and 53518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53504 and 53518.

How to find the GCF of 53504 and 53518?

We will first find the prime factorization of 53504 and 53518. After we will calculate the factors of 53504 and 53518 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 53518

Prime factors of 53518 are 2, 26759. Prime factorization of 53518 in exponential form is:

53518 = 2¹ × 26759¹

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 53518

List of positive integer factors of 53518 that divides 53504 without a remainder.

1, 2, 26759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53504 and 53518. The biggest common factor number is the GCF number.
So the greatest common factor 53504 and 53518 is 2.

Also check out the Least Common Multiple of 53504 and 53518