What is the Greatest Common Factor of 72672 and 72680?

Greatest common factor (GCF) of 72672 and 72680 is 8.

GCF(72672,72680) = 8

We will now calculate the prime factors of 72672 and 72680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72672 and 72680.

How to find the GCF of 72672 and 72680?

We will first find the prime factorization of 72672 and 72680. After we will calculate the factors of 72672 and 72680 and find the biggest common factor number .

Step-1: Prime Factorization of 72672

Prime factors of 72672 are 2, 3, 757. Prime factorization of 72672 in exponential form is:

72672 = 2⁵ × 3¹ × 757¹

Step-2: Prime Factorization of 72680

Prime factors of 72680 are 2, 5, 23, 79. Prime factorization of 72680 in exponential form is:

72680 = 2³ × 5¹ × 23¹ × 79¹

Step-3: Factors of 72672

List of positive integer factors of 72672 that divides 72672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 757, 1514, 2271, 3028, 4542, 6056, 9084, 12112, 18168, 24224, 36336

Step-4: Factors of 72680

List of positive integer factors of 72680 that divides 72672 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 79, 92, 115, 158, 184, 230, 316, 395, 460, 632, 790, 920, 1580, 1817, 3160, 3634, 7268, 9085, 14536, 18170, 36340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72672 and 72680. The biggest common factor number is the GCF number.
So the greatest common factor 72672 and 72680 is 8.

Also check out the Least Common Multiple of 72672 and 72680