What is the Greatest Common Factor of 52440 and 52455?

Greatest common factor (GCF) of 52440 and 52455 is 15.

GCF(52440,52455) = 15

We will now calculate the prime factors of 52440 and 52455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52440 and 52455.

How to find the GCF of 52440 and 52455?

We will first find the prime factorization of 52440 and 52455. After we will calculate the factors of 52440 and 52455 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52455

Prime factors of 52455 are 3, 5, 13, 269. Prime factorization of 52455 in exponential form is:

52455 = 3¹ × 5¹ × 13¹ × 269¹

Step-3: Factors of 52440

List of positive integer factors of 52440 that divides 52440 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

Step-4: Factors of 52455

List of positive integer factors of 52455 that divides 52440 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 269, 807, 1345, 3497, 4035, 10491, 17485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52440 and 52455. The biggest common factor number is the GCF number.
So the greatest common factor 52440 and 52455 is 15.

Also check out the Least Common Multiple of 52440 and 52455