What is the Greatest Common Factor of 51940 and 51955?

Greatest common factor (GCF) of 51940 and 51955 is 5.

GCF(51940,51955) = 5

We will now calculate the prime factors of 51940 and 51955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51940 and 51955.

How to find the GCF of 51940 and 51955?

We will first find the prime factorization of 51940 and 51955. After we will calculate the factors of 51940 and 51955 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51955

Prime factors of 51955 are 5, 10391. Prime factorization of 51955 in exponential form is:

51955 = 5¹ × 10391¹

Step-3: Factors of 51940

List of positive integer factors of 51940 that divides 51940 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

Step-4: Factors of 51955

List of positive integer factors of 51955 that divides 51940 without a remainder.

1, 5, 10391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51940 and 51955. The biggest common factor number is the GCF number.
So the greatest common factor 51940 and 51955 is 5.

Also check out the Least Common Multiple of 51940 and 51955