What is the Greatest Common Factor of 72415 and 72420?

Greatest common factor (GCF) of 72415 and 72420 is 5.

GCF(72415,72420) = 5

We will now calculate the prime factors of 72415 and 72420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72415 and 72420.

How to find the GCF of 72415 and 72420?

We will first find the prime factorization of 72415 and 72420. After we will calculate the factors of 72415 and 72420 and find the biggest common factor number .

Step-1: Prime Factorization of 72415

Prime factors of 72415 are 5, 7, 2069. Prime factorization of 72415 in exponential form is:

72415 = 5¹ × 7¹ × 2069¹

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 72415

List of positive integer factors of 72415 that divides 72415 without a remainder.

1, 5, 7, 35, 2069, 10345, 14483

Step-4: Factors of 72420

List of positive integer factors of 72420 that divides 72415 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 72415 and 72420. The biggest common factor number is the GCF number.
So the greatest common factor 72415 and 72420 is 5.

Also check out the Least Common Multiple of 72415 and 72420