What is the Greatest Common Factor of 53651 and 53664?

Greatest common factor (GCF) of 53651 and 53664 is 13.

GCF(53651,53664) = 13

We will now calculate the prime factors of 53651 and 53664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53651 and 53664.

How to find the GCF of 53651 and 53664?

We will first find the prime factorization of 53651 and 53664. After we will calculate the factors of 53651 and 53664 and find the biggest common factor number .

Step-1: Prime Factorization of 53651

Prime factors of 53651 are 13, 4127. Prime factorization of 53651 in exponential form is:

53651 = 13¹ × 4127¹

Step-2: Prime Factorization of 53664

Prime factors of 53664 are 2, 3, 13, 43. Prime factorization of 53664 in exponential form is:

53664 = 2⁵ × 3¹ × 13¹ × 43¹

Step-3: Factors of 53651

List of positive integer factors of 53651 that divides 53651 without a remainder.

1, 13, 4127

Step-4: Factors of 53664

List of positive integer factors of 53664 that divides 53651 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 43, 48, 52, 78, 86, 96, 104, 129, 156, 172, 208, 258, 312, 344, 416, 516, 559, 624, 688, 1032, 1118, 1248, 1376, 1677, 2064, 2236, 3354, 4128, 4472, 6708, 8944, 13416, 17888, 26832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53651 and 53664. The biggest common factor number is the GCF number.
So the greatest common factor 53651 and 53664 is 13.

Also check out the Least Common Multiple of 53651 and 53664