What is the Greatest Common Factor of 72608 and 72620?

Greatest common factor (GCF) of 72608 and 72620 is 4.

GCF(72608,72620) = 4

We will now calculate the prime factors of 72608 and 72620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72608 and 72620.

How to find the GCF of 72608 and 72620?

We will first find the prime factorization of 72608 and 72620. After we will calculate the factors of 72608 and 72620 and find the biggest common factor number .

Step-1: Prime Factorization of 72608

Prime factors of 72608 are 2, 2269. Prime factorization of 72608 in exponential form is:

72608 = 2⁵ × 2269¹

Step-2: Prime Factorization of 72620

Prime factors of 72620 are 2, 5, 3631. Prime factorization of 72620 in exponential form is:

72620 = 2² × 5¹ × 3631¹

Step-3: Factors of 72608

List of positive integer factors of 72608 that divides 72608 without a remainder.

1, 2, 4, 8, 16, 32, 2269, 4538, 9076, 18152, 36304

Step-4: Factors of 72620

List of positive integer factors of 72620 that divides 72608 without a remainder.

1, 2, 4, 5, 10, 20, 3631, 7262, 14524, 18155, 36310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72608 and 72620. The biggest common factor number is the GCF number.
So the greatest common factor 72608 and 72620 is 4.

Also check out the Least Common Multiple of 72608 and 72620