What is the Greatest Common Factor of 51420 and 51435?

Greatest common factor (GCF) of 51420 and 51435 is 15.

GCF(51420,51435) = 15

We will now calculate the prime factors of 51420 and 51435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51420 and 51435.

How to find the GCF of 51420 and 51435?

We will first find the prime factorization of 51420 and 51435. After we will calculate the factors of 51420 and 51435 and find the biggest common factor number .

Step-1: Prime Factorization of 51420

Prime factors of 51420 are 2, 3, 5, 857. Prime factorization of 51420 in exponential form is:

51420 = 2² × 3¹ × 5¹ × 857¹

Step-2: Prime Factorization of 51435

Prime factors of 51435 are 3, 5, 127. Prime factorization of 51435 in exponential form is:

51435 = 3⁴ × 5¹ × 127¹

Step-3: Factors of 51420

List of positive integer factors of 51420 that divides 51420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 857, 1714, 2571, 3428, 4285, 5142, 8570, 10284, 12855, 17140, 25710

Step-4: Factors of 51435

List of positive integer factors of 51435 that divides 51420 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 127, 135, 381, 405, 635, 1143, 1905, 3429, 5715, 10287, 17145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51420 and 51435. The biggest common factor number is the GCF number.
So the greatest common factor 51420 and 51435 is 15.

Also check out the Least Common Multiple of 51420 and 51435