What is the Greatest Common Factor of 51920 and 51940?

Greatest common factor (GCF) of 51920 and 51940 is 20.

GCF(51920,51940) = 20

We will now calculate the prime factors of 51920 and 51940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51920 and 51940.

How to find the GCF of 51920 and 51940?

We will first find the prime factorization of 51920 and 51940. After we will calculate the factors of 51920 and 51940 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 51940

Prime factors of 51940 are 2, 5, 7, 53. Prime factorization of 51940 in exponential form is:

51940 = 2² × 5¹ × 7² × 53¹

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 51940

List of positive integer factors of 51940 that divides 51920 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 53, 70, 98, 106, 140, 196, 212, 245, 265, 371, 490, 530, 742, 980, 1060, 1484, 1855, 2597, 3710, 5194, 7420, 10388, 12985, 25970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51920 and 51940. The biggest common factor number is the GCF number.
So the greatest common factor 51920 and 51940 is 20.

Also check out the Least Common Multiple of 51920 and 51940