What is the Greatest Common Factor of 52425 and 52440?

Greatest common factor (GCF) of 52425 and 52440 is 15.

GCF(52425,52440) = 15

We will now calculate the prime factors of 52425 and 52440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52425 and 52440.

How to find the GCF of 52425 and 52440?

We will first find the prime factorization of 52425 and 52440. After we will calculate the factors of 52425 and 52440 and find the biggest common factor number .

Step-1: Prime Factorization of 52425

Prime factors of 52425 are 3, 5, 233. Prime factorization of 52425 in exponential form is:

52425 = 3² × 5² × 233¹

Step-2: Prime Factorization of 52440

Prime factors of 52440 are 2, 3, 5, 19, 23. Prime factorization of 52440 in exponential form is:

52440 = 2³ × 3¹ × 5¹ × 19¹ × 23¹

Step-3: Factors of 52425

List of positive integer factors of 52425 that divides 52425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 233, 699, 1165, 2097, 3495, 5825, 10485, 17475

Step-4: Factors of 52440

List of positive integer factors of 52440 that divides 52425 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 23, 24, 30, 38, 40, 46, 57, 60, 69, 76, 92, 95, 114, 115, 120, 138, 152, 184, 190, 228, 230, 276, 285, 345, 380, 437, 456, 460, 552, 570, 690, 760, 874, 920, 1140, 1311, 1380, 1748, 2185, 2280, 2622, 2760, 3496, 4370, 5244, 6555, 8740, 10488, 13110, 17480, 26220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52425 and 52440. The biggest common factor number is the GCF number.
So the greatest common factor 52425 and 52440 is 15.

Also check out the Least Common Multiple of 52425 and 52440