What is the Greatest Common Factor of 51945 and 51960?

Greatest common factor (GCF) of 51945 and 51960 is 15.

GCF(51945,51960) = 15

We will now calculate the prime factors of 51945 and 51960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51945 and 51960.

How to find the GCF of 51945 and 51960?

We will first find the prime factorization of 51945 and 51960. After we will calculate the factors of 51945 and 51960 and find the biggest common factor number .

Step-1: Prime Factorization of 51945

Prime factors of 51945 are 3, 5, 3463. Prime factorization of 51945 in exponential form is:

51945 = 3¹ × 5¹ × 3463¹

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 51945

List of positive integer factors of 51945 that divides 51945 without a remainder.

1, 3, 5, 15, 3463, 10389, 17315

Step-4: Factors of 51960

List of positive integer factors of 51960 that divides 51945 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 51945 and 51960. The biggest common factor number is the GCF number.
So the greatest common factor 51945 and 51960 is 15.

Also check out the Least Common Multiple of 51945 and 51960