What is the Greatest Common Factor of 51960 and 51978?

Greatest common factor (GCF) of 51960 and 51978 is 6.

GCF(51960,51978) = 6

We will now calculate the prime factors of 51960 and 51978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51960 and 51978.

How to find the GCF of 51960 and 51978?

We will first find the prime factorization of 51960 and 51978. After we will calculate the factors of 51960 and 51978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51978

Prime factors of 51978 are 2, 3, 8663. Prime factorization of 51978 in exponential form is:

51978 = 2¹ × 3¹ × 8663¹

Step-3: Factors of 51960

List of positive integer factors of 51960 that divides 51960 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

Step-4: Factors of 51978

List of positive integer factors of 51978 that divides 51960 without a remainder.

1, 2, 3, 6, 8663, 17326, 25989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51960 and 51978. The biggest common factor number is the GCF number.
So the greatest common factor 51960 and 51978 is 6.

Also check out the Least Common Multiple of 51960 and 51978