What is the Greatest Common Factor of 72636 and 72648?

Greatest common factor (GCF) of 72636 and 72648 is 12.

GCF(72636,72648) = 12

We will now calculate the prime factors of 72636 and 72648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72636 and 72648.

How to find the GCF of 72636 and 72648?

We will first find the prime factorization of 72636 and 72648. After we will calculate the factors of 72636 and 72648 and find the biggest common factor number .

Step-1: Prime Factorization of 72636

Prime factors of 72636 are 2, 3, 6053. Prime factorization of 72636 in exponential form is:

72636 = 2² × 3¹ × 6053¹

Step-2: 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-3: Factors of 72636

List of positive integer factors of 72636 that divides 72636 without a remainder.

1, 2, 3, 4, 6, 12, 6053, 12106, 18159, 24212, 36318

Step-4: Factors of 72648

List of positive integer factors of 72648 that divides 72636 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72636 and 72648. The biggest common factor number is the GCF number.
So the greatest common factor 72636 and 72648 is 12.

Also check out the Least Common Multiple of 72636 and 72648