What is the Greatest Common Factor of 72401 and 72420?

Greatest common factor (GCF) of 72401 and 72420 is 1.

GCF(72401,72420) = 1

We will now calculate the prime factors of 72401 and 72420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72401 and 72420.

How to find the GCF of 72401 and 72420?

We will first find the prime factorization of 72401 and 72420. After we will calculate the factors of 72401 and 72420 and find the biggest common factor number .

Step-1: Prime Factorization of 72401

Prime factors of 72401 are 7, 10343. Prime factorization of 72401 in exponential form is:

72401 = 7¹ × 10343¹

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 72401

List of positive integer factors of 72401 that divides 72401 without a remainder.

1, 7, 10343

Step-4: Factors of 72420

List of positive integer factors of 72420 that divides 72401 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 72401 and 72420. The biggest common factor number is the GCF number.
So the greatest common factor 72401 and 72420 is 1.

Also check out the Least Common Multiple of 72401 and 72420