What is the Greatest Common Factor of 75597 and 75616?

Greatest common factor (GCF) of 75597 and 75616 is 1.

GCF(75597,75616) = 1

We will now calculate the prime factors of 75597 and 75616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75597 and 75616.

How to find the GCF of 75597 and 75616?

We will first find the prime factorization of 75597 and 75616. After we will calculate the factors of 75597 and 75616 and find the biggest common factor number .

Step-1: Prime Factorization of 75597

Prime factors of 75597 are 3, 113, 223. Prime factorization of 75597 in exponential form is:

75597 = 3¹ × 113¹ × 223¹

Step-2: Prime Factorization of 75616

Prime factors of 75616 are 2, 17, 139. Prime factorization of 75616 in exponential form is:

75616 = 2⁵ × 17¹ × 139¹

Step-3: Factors of 75597

List of positive integer factors of 75597 that divides 75597 without a remainder.

1, 3, 113, 223, 339, 669, 25199

Step-4: Factors of 75616

List of positive integer factors of 75616 that divides 75597 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 139, 272, 278, 544, 556, 1112, 2224, 2363, 4448, 4726, 9452, 18904, 37808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75597 and 75616. The biggest common factor number is the GCF number.
So the greatest common factor 75597 and 75616 is 1.

Also check out the Least Common Multiple of 75597 and 75616