What is the Greatest Common Factor of 69597 and 69616?

Greatest common factor (GCF) of 69597 and 69616 is 19.

GCF(69597,69616) = 19

We will now calculate the prime factors of 69597 and 69616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69597 and 69616.

How to find the GCF of 69597 and 69616?

We will first find the prime factorization of 69597 and 69616. After we will calculate the factors of 69597 and 69616 and find the biggest common factor number .

Step-1: Prime Factorization of 69597

Prime factors of 69597 are 3, 11, 19, 37. Prime factorization of 69597 in exponential form is:

69597 = 3² × 11¹ × 19¹ × 37¹

Step-2: Prime Factorization of 69616

Prime factors of 69616 are 2, 19, 229. Prime factorization of 69616 in exponential form is:

69616 = 2⁴ × 19¹ × 229¹

Step-3: Factors of 69597

List of positive integer factors of 69597 that divides 69597 without a remainder.

1, 3, 9, 11, 19, 33, 37, 57, 99, 111, 171, 209, 333, 407, 627, 703, 1221, 1881, 2109, 3663, 6327, 7733, 23199

Step-4: Factors of 69616

List of positive integer factors of 69616 that divides 69597 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 229, 304, 458, 916, 1832, 3664, 4351, 8702, 17404, 34808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69597 and 69616. The biggest common factor number is the GCF number.
So the greatest common factor 69597 and 69616 is 19.

Also check out the Least Common Multiple of 69597 and 69616