What is the Greatest Common Factor of 53504 and 53520?

Greatest common factor (GCF) of 53504 and 53520 is 16.

GCF(53504,53520) = 16

We will now calculate the prime factors of 53504 and 53520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53504 and 53520.

How to find the GCF of 53504 and 53520?

We will first find the prime factorization of 53504 and 53520. After we will calculate the factors of 53504 and 53520 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 53520

Prime factors of 53520 are 2, 3, 5, 223. Prime factorization of 53520 in exponential form is:

53520 = 2⁴ × 3¹ × 5¹ × 223¹

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 53520

List of positive integer factors of 53520 that divides 53504 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 223, 240, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 3568, 4460, 5352, 6690, 8920, 10704, 13380, 17840, 26760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53504 and 53520. The biggest common factor number is the GCF number.
So the greatest common factor 53504 and 53520 is 16.

Also check out the Least Common Multiple of 53504 and 53520