What is the Greatest Common Factor of 51926 and 51940?

Greatest common factor (GCF) of 51926 and 51940 is 14.

GCF(51926,51940) = 14

We will now calculate the prime factors of 51926 and 51940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51926 and 51940.

How to find the GCF of 51926 and 51940?

We will first find the prime factorization of 51926 and 51940. After we will calculate the factors of 51926 and 51940 and find the biggest common factor number .

Step-1: Prime Factorization of 51926

Prime factors of 51926 are 2, 7, 3709. Prime factorization of 51926 in exponential form is:

51926 = 2¹ × 7¹ × 3709¹

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 51926

List of positive integer factors of 51926 that divides 51926 without a remainder.

1, 2, 7, 14, 3709, 7418, 25963

Step-4: Factors of 51940

List of positive integer factors of 51940 that divides 51926 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 51926 and 51940. The biggest common factor number is the GCF number.
So the greatest common factor 51926 and 51940 is 14.

Also check out the Least Common Multiple of 51926 and 51940