What is the Greatest Common Factor of 75282 and 75297?

Greatest common factor (GCF) of 75282 and 75297 is 3.

GCF(75282,75297) = 3

We will now calculate the prime factors of 75282 and 75297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75282 and 75297.

How to find the GCF of 75282 and 75297?

We will first find the prime factorization of 75282 and 75297. After we will calculate the factors of 75282 and 75297 and find the biggest common factor number .

Step-1: Prime Factorization of 75282

Prime factors of 75282 are 2, 3, 12547. Prime factorization of 75282 in exponential form is:

75282 = 2¹ × 3¹ × 12547¹

Step-2: 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-3: Factors of 75282

List of positive integer factors of 75282 that divides 75282 without a remainder.

1, 2, 3, 6, 12547, 25094, 37641

Step-4: Factors of 75297

List of positive integer factors of 75297 that divides 75282 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75282 and 75297. The biggest common factor number is the GCF number.
So the greatest common factor 75282 and 75297 is 3.

Also check out the Least Common Multiple of 75282 and 75297