What is the Greatest Common Factor of 53504 and 53515?

Greatest common factor (GCF) of 53504 and 53515 is 11.

GCF(53504,53515) = 11

We will now calculate the prime factors of 53504 and 53515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53504 and 53515.

How to find the GCF of 53504 and 53515?

We will first find the prime factorization of 53504 and 53515. After we will calculate the factors of 53504 and 53515 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 53515

Prime factors of 53515 are 5, 7, 11, 139. Prime factorization of 53515 in exponential form is:

53515 = 5¹ × 7¹ × 11¹ × 139¹

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 53515

List of positive integer factors of 53515 that divides 53504 without a remainder.

1, 5, 7, 11, 35, 55, 77, 139, 385, 695, 973, 1529, 4865, 7645, 10703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53504 and 53515. The biggest common factor number is the GCF number.
So the greatest common factor 53504 and 53515 is 11.

Also check out the Least Common Multiple of 53504 and 53515