What is the Greatest Common Factor of 72359 and 72378?

Greatest common factor (GCF) of 72359 and 72378 is 1.

GCF(72359,72378) = 1

We will now calculate the prime factors of 72359 and 72378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72359 and 72378.

How to find the GCF of 72359 and 72378?

We will first find the prime factorization of 72359 and 72378. After we will calculate the factors of 72359 and 72378 and find the biggest common factor number .

Step-1: Prime Factorization of 72359

Prime factors of 72359 are 7, 10337. Prime factorization of 72359 in exponential form is:

72359 = 7¹ × 10337¹

Step-2: Prime Factorization of 72378

Prime factors of 72378 are 2, 3, 4021. Prime factorization of 72378 in exponential form is:

72378 = 2¹ × 3² × 4021¹

Step-3: Factors of 72359

List of positive integer factors of 72359 that divides 72359 without a remainder.

1, 7, 10337

Step-4: Factors of 72378

List of positive integer factors of 72378 that divides 72359 without a remainder.

1, 2, 3, 6, 9, 18, 4021, 8042, 12063, 24126, 36189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72359 and 72378. The biggest common factor number is the GCF number.
So the greatest common factor 72359 and 72378 is 1.

Also check out the Least Common Multiple of 72359 and 72378