What is the Greatest Common Factor of 51920 and 51936?

Greatest common factor (GCF) of 51920 and 51936 is 16.

GCF(51920,51936) = 16

We will now calculate the prime factors of 51920 and 51936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51920 and 51936.

How to find the GCF of 51920 and 51936?

We will first find the prime factorization of 51920 and 51936. After we will calculate the factors of 51920 and 51936 and find the biggest common factor number .

Step-1: Prime Factorization of 51920

Prime factors of 51920 are 2, 5, 11, 59. Prime factorization of 51920 in exponential form is:

51920 = 2⁴ × 5¹ × 11¹ × 59¹

Step-2: Prime Factorization of 51936

Prime factors of 51936 are 2, 3, 541. Prime factorization of 51936 in exponential form is:

51936 = 2⁵ × 3¹ × 541¹

Step-3: Factors of 51920

List of positive integer factors of 51920 that divides 51920 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 59, 80, 88, 110, 118, 176, 220, 236, 295, 440, 472, 590, 649, 880, 944, 1180, 1298, 2360, 2596, 3245, 4720, 5192, 6490, 10384, 12980, 25960

Step-4: Factors of 51936

List of positive integer factors of 51936 that divides 51920 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 541, 1082, 1623, 2164, 3246, 4328, 6492, 8656, 12984, 17312, 25968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51920 and 51936. The biggest common factor number is the GCF number.
So the greatest common factor 51920 and 51936 is 16.

Also check out the Least Common Multiple of 51920 and 51936