What is the Greatest Common Factor of 72456 and 72466?

Greatest common factor (GCF) of 72456 and 72466 is 2.

GCF(72456,72466) = 2

We will now calculate the prime factors of 72456 and 72466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72456 and 72466.

How to find the GCF of 72456 and 72466?

We will first find the prime factorization of 72456 and 72466. After we will calculate the factors of 72456 and 72466 and find the biggest common factor number .

Step-1: Prime Factorization of 72456

Prime factors of 72456 are 2, 3, 3019. Prime factorization of 72456 in exponential form is:

72456 = 2³ × 3¹ × 3019¹

Step-2: Prime Factorization of 72466

Prime factors of 72466 are 2, 19, 1907. Prime factorization of 72466 in exponential form is:

72466 = 2¹ × 19¹ × 1907¹

Step-3: Factors of 72456

List of positive integer factors of 72456 that divides 72456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3019, 6038, 9057, 12076, 18114, 24152, 36228

Step-4: Factors of 72466

List of positive integer factors of 72466 that divides 72456 without a remainder.

1, 2, 19, 38, 1907, 3814, 36233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72456 and 72466. The biggest common factor number is the GCF number.
So the greatest common factor 72456 and 72466 is 2.

Also check out the Least Common Multiple of 72456 and 72466