What is the Greatest Common Factor of 72406 and 72420?

Greatest common factor (GCF) of 72406 and 72420 is 2.

GCF(72406,72420) = 2

We will now calculate the prime factors of 72406 and 72420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72406 and 72420.

How to find the GCF of 72406 and 72420?

We will first find the prime factorization of 72406 and 72420. After we will calculate the factors of 72406 and 72420 and find the biggest common factor number .

Step-1: Prime Factorization of 72406

Prime factors of 72406 are 2, 41, 883. Prime factorization of 72406 in exponential form is:

72406 = 2¹ × 41¹ × 883¹

Step-2: 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-3: Factors of 72406

List of positive integer factors of 72406 that divides 72406 without a remainder.

1, 2, 41, 82, 883, 1766, 36203

Step-4: Factors of 72420

List of positive integer factors of 72420 that divides 72406 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72406 and 72420. The biggest common factor number is the GCF number.
So the greatest common factor 72406 and 72420 is 2.

Also check out the Least Common Multiple of 72406 and 72420