What is the Greatest Common Factor of 54656 and 54664?

Greatest common factor (GCF) of 54656 and 54664 is 8.

GCF(54656,54664) = 8

We will now calculate the prime factors of 54656 and 54664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54656 and 54664.

How to find the GCF of 54656 and 54664?

We will first find the prime factorization of 54656 and 54664. After we will calculate the factors of 54656 and 54664 and find the biggest common factor number .

Step-1: Prime Factorization of 54656

Prime factors of 54656 are 2, 7, 61. Prime factorization of 54656 in exponential form is:

54656 = 2⁷ × 7¹ × 61¹

Step-2: Prime Factorization of 54664

Prime factors of 54664 are 2, 6833. Prime factorization of 54664 in exponential form is:

54664 = 2³ × 6833¹

Step-3: Factors of 54656

List of positive integer factors of 54656 that divides 54656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 61, 64, 112, 122, 128, 224, 244, 427, 448, 488, 854, 896, 976, 1708, 1952, 3416, 3904, 6832, 7808, 13664, 27328

Step-4: Factors of 54664

List of positive integer factors of 54664 that divides 54656 without a remainder.

1, 2, 4, 8, 6833, 13666, 27332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54656 and 54664. The biggest common factor number is the GCF number.
So the greatest common factor 54656 and 54664 is 8.

Also check out the Least Common Multiple of 54656 and 54664