What is the Greatest Common Factor of 51954 and 51960?

Greatest common factor (GCF) of 51954 and 51960 is 6.

GCF(51954,51960) = 6

We will now calculate the prime factors of 51954 and 51960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51954 and 51960.

How to find the GCF of 51954 and 51960?

We will first find the prime factorization of 51954 and 51960. After we will calculate the factors of 51954 and 51960 and find the biggest common factor number .

Step-1: Prime Factorization of 51954

Prime factors of 51954 are 2, 3, 7, 1237. Prime factorization of 51954 in exponential form is:

51954 = 2¹ × 3¹ × 7¹ × 1237¹

Step-2: Prime Factorization of 51960

Prime factors of 51960 are 2, 3, 5, 433. Prime factorization of 51960 in exponential form is:

51960 = 2³ × 3¹ × 5¹ × 433¹

Step-3: Factors of 51954

List of positive integer factors of 51954 that divides 51954 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1237, 2474, 3711, 7422, 8659, 17318, 25977

Step-4: Factors of 51960

List of positive integer factors of 51960 that divides 51954 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 433, 866, 1299, 1732, 2165, 2598, 3464, 4330, 5196, 6495, 8660, 10392, 12990, 17320, 25980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51954 and 51960. The biggest common factor number is the GCF number.
So the greatest common factor 51954 and 51960 is 6.

Also check out the Least Common Multiple of 51954 and 51960