What is the Greatest Common Factor of 51900 and 51916?

Greatest common factor (GCF) of 51900 and 51916 is 4.

GCF(51900,51916) = 4

We will now calculate the prime factors of 51900 and 51916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51900 and 51916.

How to find the GCF of 51900 and 51916?

We will first find the prime factorization of 51900 and 51916. After we will calculate the factors of 51900 and 51916 and find the biggest common factor number .

Step-1: Prime Factorization of 51900

Prime factors of 51900 are 2, 3, 5, 173. Prime factorization of 51900 in exponential form is:

51900 = 2² × 3¹ × 5² × 173¹

Step-2: Prime Factorization of 51916

Prime factors of 51916 are 2, 12979. Prime factorization of 51916 in exponential form is:

51916 = 2² × 12979¹

Step-3: Factors of 51900

List of positive integer factors of 51900 that divides 51900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 173, 300, 346, 519, 692, 865, 1038, 1730, 2076, 2595, 3460, 4325, 5190, 8650, 10380, 12975, 17300, 25950

Step-4: Factors of 51916

List of positive integer factors of 51916 that divides 51900 without a remainder.

1, 2, 4, 12979, 25958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51900 and 51916. The biggest common factor number is the GCF number.
So the greatest common factor 51900 and 51916 is 4.

Also check out the Least Common Multiple of 51900 and 51916