What is the Greatest Common Factor of 72420 and 72438?

Greatest common factor (GCF) of 72420 and 72438 is 6.

GCF(72420,72438) = 6

We will now calculate the prime factors of 72420 and 72438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72420 and 72438.

How to find the GCF of 72420 and 72438?

We will first find the prime factorization of 72420 and 72438. After we will calculate the factors of 72420 and 72438 and find the biggest common factor number .

Step-1: Prime Factorization of 72420

Prime factors of 72420 are 2, 3, 5, 17, 71. Prime factorization of 72420 in exponential form is:

72420 = 2² × 3¹ × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 72438

Prime factors of 72438 are 2, 3, 12073. Prime factorization of 72438 in exponential form is:

72438 = 2¹ × 3¹ × 12073¹

Step-3: Factors of 72420

List of positive integer factors of 72420 that divides 72420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 71, 85, 102, 142, 170, 204, 213, 255, 284, 340, 355, 426, 510, 710, 852, 1020, 1065, 1207, 1420, 2130, 2414, 3621, 4260, 4828, 6035, 7242, 12070, 14484, 18105, 24140, 36210

Step-4: Factors of 72438

List of positive integer factors of 72438 that divides 72420 without a remainder.

1, 2, 3, 6, 12073, 24146, 36219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72420 and 72438. The biggest common factor number is the GCF number.
So the greatest common factor 72420 and 72438 is 6.

Also check out the Least Common Multiple of 72420 and 72438