What is the Greatest Common Factor of 52424 and 52440?

Greatest common factor (GCF) of 52424 and 52440 is 8.

GCF(52424,52440) = 8

We will now calculate the prime factors of 52424 and 52440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52424 and 52440.

How to find the GCF of 52424 and 52440?

We will first find the prime factorization of 52424 and 52440. After we will calculate the factors of 52424 and 52440 and find the biggest common factor number .

Step-1: Prime Factorization of 52424

Prime factors of 52424 are 2, 6553. Prime factorization of 52424 in exponential form is:

52424 = 2³ × 6553¹

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 52424

List of positive integer factors of 52424 that divides 52424 without a remainder.

1, 2, 4, 8, 6553, 13106, 26212

Step-4: Factors of 52440

List of positive integer factors of 52440 that divides 52424 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 52424 and 52440. The biggest common factor number is the GCF number.
So the greatest common factor 52424 and 52440 is 8.

Also check out the Least Common Multiple of 52424 and 52440