What is the Greatest Common Factor of 72672 and 72679?

Greatest common factor (GCF) of 72672 and 72679 is 1.

GCF(72672,72679) = 1

We will now calculate the prime factors of 72672 and 72679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72672 and 72679.

How to find the GCF of 72672 and 72679?

We will first find the prime factorization of 72672 and 72679. After we will calculate the factors of 72672 and 72679 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 72679

Prime factors of 72679 are 72679. Prime factorization of 72679 in exponential form is:

72679 = 72679¹

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 72679

List of positive integer factors of 72679 that divides 72672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72672 and 72679. The biggest common factor number is the GCF number.
So the greatest common factor 72672 and 72679 is 1.

Also check out the Least Common Multiple of 72672 and 72679