What is the Greatest Common Factor of 53504 and 53511?

Greatest common factor (GCF) of 53504 and 53511 is 1.

GCF(53504,53511) = 1

We will now calculate the prime factors of 53504 and 53511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53504 and 53511.

How to find the GCF of 53504 and 53511?

We will first find the prime factorization of 53504 and 53511. After we will calculate the factors of 53504 and 53511 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 53511

Prime factors of 53511 are 3, 17837. Prime factorization of 53511 in exponential form is:

53511 = 3¹ × 17837¹

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 53511

List of positive integer factors of 53511 that divides 53504 without a remainder.

1, 3, 17837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53504 and 53511. The biggest common factor number is the GCF number.
So the greatest common factor 53504 and 53511 is 1.

Also check out the Least Common Multiple of 53504 and 53511