What is the Greatest Common Factor of 72648 and 72668?

Greatest common factor (GCF) of 72648 and 72668 is 4.

GCF(72648,72668) = 4

We will now calculate the prime factors of 72648 and 72668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72648 and 72668.

How to find the GCF of 72648 and 72668?

We will first find the prime factorization of 72648 and 72668. After we will calculate the factors of 72648 and 72668 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 72668

Prime factors of 72668 are 2, 37, 491. Prime factorization of 72668 in exponential form is:

72668 = 2² × 37¹ × 491¹

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 72668

List of positive integer factors of 72668 that divides 72648 without a remainder.

1, 2, 4, 37, 74, 148, 491, 982, 1964, 18167, 36334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72648 and 72668. The biggest common factor number is the GCF number.
So the greatest common factor 72648 and 72668 is 4.

Also check out the Least Common Multiple of 72648 and 72668