What is the Greatest Common Factor of 53655 and 53664?

Greatest common factor (GCF) of 53655 and 53664 is 3.

GCF(53655,53664) = 3

We will now calculate the prime factors of 53655 and 53664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53655 and 53664.

How to find the GCF of 53655 and 53664?

We will first find the prime factorization of 53655 and 53664. After we will calculate the factors of 53655 and 53664 and find the biggest common factor number .

Step-1: Prime Factorization of 53655

Prime factors of 53655 are 3, 5, 7, 73. Prime factorization of 53655 in exponential form is:

53655 = 3¹ × 5¹ × 7² × 73¹

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 53655

List of positive integer factors of 53655 that divides 53655 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 73, 105, 147, 219, 245, 365, 511, 735, 1095, 1533, 2555, 3577, 7665, 10731, 17885

Step-4: Factors of 53664

List of positive integer factors of 53664 that divides 53655 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 53655 and 53664. The biggest common factor number is the GCF number.
So the greatest common factor 53655 and 53664 is 3.

Also check out the Least Common Multiple of 53655 and 53664