What is the Greatest Common Factor of 72642 and 72648?

Greatest common factor (GCF) of 72642 and 72648 is 6.

GCF(72642,72648) = 6

We will now calculate the prime factors of 72642 and 72648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72642 and 72648.

How to find the GCF of 72642 and 72648?

We will first find the prime factorization of 72642 and 72648. After we will calculate the factors of 72642 and 72648 and find the biggest common factor number .

Step-1: Prime Factorization of 72642

Prime factors of 72642 are 2, 3, 12107. Prime factorization of 72642 in exponential form is:

72642 = 2¹ × 3¹ × 12107¹

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 72642

List of positive integer factors of 72642 that divides 72642 without a remainder.

1, 2, 3, 6, 12107, 24214, 36321

Step-4: Factors of 72648

List of positive integer factors of 72648 that divides 72642 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 72642 and 72648. The biggest common factor number is the GCF number.
So the greatest common factor 72642 and 72648 is 6.

Also check out the Least Common Multiple of 72642 and 72648