What is the Greatest Common Factor of 72456 and 72474?

Greatest common factor (GCF) of 72456 and 72474 is 6.

GCF(72456,72474) = 6

We will now calculate the prime factors of 72456 and 72474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72456 and 72474.

How to find the GCF of 72456 and 72474?

We will first find the prime factorization of 72456 and 72474. After we will calculate the factors of 72456 and 72474 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 72474

Prime factors of 72474 are 2, 3, 47, 257. Prime factorization of 72474 in exponential form is:

72474 = 2¹ × 3¹ × 47¹ × 257¹

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 72474

List of positive integer factors of 72474 that divides 72456 without a remainder.

1, 2, 3, 6, 47, 94, 141, 257, 282, 514, 771, 1542, 12079, 24158, 36237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72456 and 72474. The biggest common factor number is the GCF number.
So the greatest common factor 72456 and 72474 is 6.

Also check out the Least Common Multiple of 72456 and 72474