What is the Greatest Common Factor of 72420 and 72440?

Greatest common factor (GCF) of 72420 and 72440 is 20.

GCF(72420,72440) = 20

We will now calculate the prime factors of 72420 and 72440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72420 and 72440.

How to find the GCF of 72420 and 72440?

We will first find the prime factorization of 72420 and 72440. After we will calculate the factors of 72420 and 72440 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 72440

Prime factors of 72440 are 2, 5, 1811. Prime factorization of 72440 in exponential form is:

72440 = 2³ × 5¹ × 1811¹

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 72440

List of positive integer factors of 72440 that divides 72420 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1811, 3622, 7244, 9055, 14488, 18110, 36220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72420 and 72440. The biggest common factor number is the GCF number.
So the greatest common factor 72420 and 72440 is 20.

Also check out the Least Common Multiple of 72420 and 72440