What is the Greatest Common Factor of 72604 and 72616?

Greatest common factor (GCF) of 72604 and 72616 is 4.

GCF(72604,72616) = 4

We will now calculate the prime factors of 72604 and 72616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72604 and 72616.

How to find the GCF of 72604 and 72616?

We will first find the prime factorization of 72604 and 72616. After we will calculate the factors of 72604 and 72616 and find the biggest common factor number .

Step-1: Prime Factorization of 72604

Prime factors of 72604 are 2, 7, 2593. Prime factorization of 72604 in exponential form is:

72604 = 2² × 7¹ × 2593¹

Step-2: Prime Factorization of 72616

Prime factors of 72616 are 2, 29, 313. Prime factorization of 72616 in exponential form is:

72616 = 2³ × 29¹ × 313¹

Step-3: Factors of 72604

List of positive integer factors of 72604 that divides 72604 without a remainder.

1, 2, 4, 7, 14, 28, 2593, 5186, 10372, 18151, 36302

Step-4: Factors of 72616

List of positive integer factors of 72616 that divides 72604 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 313, 626, 1252, 2504, 9077, 18154, 36308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72604 and 72616. The biggest common factor number is the GCF number.
So the greatest common factor 72604 and 72616 is 4.

Also check out the Least Common Multiple of 72604 and 72616