What is the Greatest Common Factor of 53250 and 53256?

Greatest common factor (GCF) of 53250 and 53256 is 6.

GCF(53250,53256) = 6

We will now calculate the prime factors of 53250 and 53256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53250 and 53256.

How to find the GCF of 53250 and 53256?

We will first find the prime factorization of 53250 and 53256. After we will calculate the factors of 53250 and 53256 and find the biggest common factor number .

Step-1: Prime Factorization of 53250

Prime factors of 53250 are 2, 3, 5, 71. Prime factorization of 53250 in exponential form is:

53250 = 2¹ × 3¹ × 5³ × 71¹

Step-2: Prime Factorization of 53256

Prime factors of 53256 are 2, 3, 7, 317. Prime factorization of 53256 in exponential form is:

53256 = 2³ × 3¹ × 7¹ × 317¹

Step-3: Factors of 53250

List of positive integer factors of 53250 that divides 53250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 125, 142, 150, 213, 250, 355, 375, 426, 710, 750, 1065, 1775, 2130, 3550, 5325, 8875, 10650, 17750, 26625

Step-4: Factors of 53256

List of positive integer factors of 53256 that divides 53250 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 317, 634, 951, 1268, 1902, 2219, 2536, 3804, 4438, 6657, 7608, 8876, 13314, 17752, 26628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53250 and 53256. The biggest common factor number is the GCF number.
So the greatest common factor 53250 and 53256 is 6.

Also check out the Least Common Multiple of 53250 and 53256