What is the Greatest Common Factor of 72648 and 72654?

Greatest common factor (GCF) of 72648 and 72654 is 6.

GCF(72648,72654) = 6

We will now calculate the prime factors of 72648 and 72654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72648 and 72654.

How to find the GCF of 72648 and 72654?

We will first find the prime factorization of 72648 and 72654. After we will calculate the factors of 72648 and 72654 and find the biggest common factor number .

Step-1: Prime Factorization of 72648

Prime factors of 72648 are 2, 3, 1009. Prime factorization of 72648 in exponential form is:

72648 = 2³ × 3² × 1009¹

Step-2: Prime Factorization of 72654

Prime factors of 72654 are 2, 3, 12109. Prime factorization of 72654 in exponential form is:

72654 = 2¹ × 3¹ × 12109¹

Step-3: Factors of 72648

List of positive integer factors of 72648 that divides 72648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1009, 2018, 3027, 4036, 6054, 8072, 9081, 12108, 18162, 24216, 36324

Step-4: Factors of 72654

List of positive integer factors of 72654 that divides 72648 without a remainder.

1, 2, 3, 6, 12109, 24218, 36327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72648 and 72654. The biggest common factor number is the GCF number.
So the greatest common factor 72648 and 72654 is 6.

Also check out the Least Common Multiple of 72648 and 72654