What is the Greatest Common Factor of 72663 and 72672?

Greatest common factor (GCF) of 72663 and 72672 is 3.

GCF(72663,72672) = 3

We will now calculate the prime factors of 72663 and 72672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72663 and 72672.

How to find the GCF of 72663 and 72672?

We will first find the prime factorization of 72663 and 72672. After we will calculate the factors of 72663 and 72672 and find the biggest common factor number .

Step-1: Prime Factorization of 72663

Prime factors of 72663 are 3, 53, 457. Prime factorization of 72663 in exponential form is:

72663 = 3¹ × 53¹ × 457¹

Step-2: 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-3: Factors of 72663

List of positive integer factors of 72663 that divides 72663 without a remainder.

1, 3, 53, 159, 457, 1371, 24221

Step-4: Factors of 72672

List of positive integer factors of 72672 that divides 72663 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72663 and 72672. The biggest common factor number is the GCF number.
So the greatest common factor 72663 and 72672 is 3.

Also check out the Least Common Multiple of 72663 and 72672