What is the Greatest Common Factor of 52421 and 52440?

Greatest common factor (GCF) of 52421 and 52440 is 19.

GCF(52421,52440) = 19

We will now calculate the prime factors of 52421 and 52440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52421 and 52440.

How to find the GCF of 52421 and 52440?

We will first find the prime factorization of 52421 and 52440. After we will calculate the factors of 52421 and 52440 and find the biggest common factor number .

Step-1: Prime Factorization of 52421

Prime factors of 52421 are 19, 31, 89. Prime factorization of 52421 in exponential form is:

52421 = 19¹ × 31¹ × 89¹

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 52421

List of positive integer factors of 52421 that divides 52421 without a remainder.

1, 19, 31, 89, 589, 1691, 2759

Step-4: Factors of 52440

List of positive integer factors of 52440 that divides 52421 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 52421 and 52440. The biggest common factor number is the GCF number.
So the greatest common factor 52421 and 52440 is 19.

Also check out the Least Common Multiple of 52421 and 52440