What is the Greatest Common Factor of 72088 and 72108?

Greatest common factor (GCF) of 72088 and 72108 is 4.

GCF(72088,72108) = 4

We will now calculate the prime factors of 72088 and 72108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72088 and 72108.

How to find the GCF of 72088 and 72108?

We will first find the prime factorization of 72088 and 72108. After we will calculate the factors of 72088 and 72108 and find the biggest common factor number .

Step-1: Prime Factorization of 72088

Prime factors of 72088 are 2, 9011. Prime factorization of 72088 in exponential form is:

72088 = 2³ × 9011¹

Step-2: Prime Factorization of 72108

Prime factors of 72108 are 2, 3, 2003. Prime factorization of 72108 in exponential form is:

72108 = 2² × 3² × 2003¹

Step-3: Factors of 72088

List of positive integer factors of 72088 that divides 72088 without a remainder.

1, 2, 4, 8, 9011, 18022, 36044

Step-4: Factors of 72108

List of positive integer factors of 72108 that divides 72088 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2003, 4006, 6009, 8012, 12018, 18027, 24036, 36054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72088 and 72108. The biggest common factor number is the GCF number.
So the greatest common factor 72088 and 72108 is 4.

Also check out the Least Common Multiple of 72088 and 72108