What is the Greatest Common Factor of 72374 and 72378?

Greatest common factor (GCF) of 72374 and 72378 is 2.

GCF(72374,72378) = 2

We will now calculate the prime factors of 72374 and 72378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72374 and 72378.

How to find the GCF of 72374 and 72378?

We will first find the prime factorization of 72374 and 72378. After we will calculate the factors of 72374 and 72378 and find the biggest common factor number .

Step-1: Prime Factorization of 72374

Prime factors of 72374 are 2, 36187. Prime factorization of 72374 in exponential form is:

72374 = 2¹ × 36187¹

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 72374

List of positive integer factors of 72374 that divides 72374 without a remainder.

1, 2, 36187

Step-4: Factors of 72378

List of positive integer factors of 72378 that divides 72374 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 72374 and 72378. The biggest common factor number is the GCF number.
So the greatest common factor 72374 and 72378 is 2.

Also check out the Least Common Multiple of 72374 and 72378