What is the Greatest Common Factor of 51525 and 51540?

Greatest common factor (GCF) of 51525 and 51540 is 15.

GCF(51525,51540) = 15

We will now calculate the prime factors of 51525 and 51540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51525 and 51540.

How to find the GCF of 51525 and 51540?

We will first find the prime factorization of 51525 and 51540. After we will calculate the factors of 51525 and 51540 and find the biggest common factor number .

Step-1: Prime Factorization of 51525

Prime factors of 51525 are 3, 5, 229. Prime factorization of 51525 in exponential form is:

51525 = 3² × 5² × 229¹

Step-2: Prime Factorization of 51540

Prime factors of 51540 are 2, 3, 5, 859. Prime factorization of 51540 in exponential form is:

51540 = 2² × 3¹ × 5¹ × 859¹

Step-3: Factors of 51525

List of positive integer factors of 51525 that divides 51525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 229, 687, 1145, 2061, 3435, 5725, 10305, 17175

Step-4: Factors of 51540

List of positive integer factors of 51540 that divides 51525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 859, 1718, 2577, 3436, 4295, 5154, 8590, 10308, 12885, 17180, 25770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51525 and 51540. The biggest common factor number is the GCF number.
So the greatest common factor 51525 and 51540 is 15.

Also check out the Least Common Multiple of 51525 and 51540