What is the Greatest Common Factor of 75297 and 75316?

Greatest common factor (GCF) of 75297 and 75316 is 19.

GCF(75297,75316) = 19

We will now calculate the prime factors of 75297 and 75316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75297 and 75316.

How to find the GCF of 75297 and 75316?

We will first find the prime factorization of 75297 and 75316. After we will calculate the factors of 75297 and 75316 and find the biggest common factor number .

Step-1: Prime Factorization of 75297

Prime factors of 75297 are 3, 19, 1321. Prime factorization of 75297 in exponential form is:

75297 = 3¹ × 19¹ × 1321¹

Step-2: Prime Factorization of 75316

Prime factors of 75316 are 2, 19, 991. Prime factorization of 75316 in exponential form is:

75316 = 2² × 19¹ × 991¹

Step-3: Factors of 75297

List of positive integer factors of 75297 that divides 75297 without a remainder.

1, 3, 19, 57, 1321, 3963, 25099

Step-4: Factors of 75316

List of positive integer factors of 75316 that divides 75297 without a remainder.

1, 2, 4, 19, 38, 76, 991, 1982, 3964, 18829, 37658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75297 and 75316. The biggest common factor number is the GCF number.
So the greatest common factor 75297 and 75316 is 19.

Also check out the Least Common Multiple of 75297 and 75316