What is the Greatest Common Factor of 75269 and 75275?

Greatest common factor (GCF) of 75269 and 75275 is 1.

GCF(75269,75275) = 1

We will now calculate the prime factors of 75269 and 75275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75269 and 75275.

How to find the GCF of 75269 and 75275?

We will first find the prime factorization of 75269 and 75275. After we will calculate the factors of 75269 and 75275 and find the biggest common factor number .

Step-1: Prime Factorization of 75269

Prime factors of 75269 are 75269. Prime factorization of 75269 in exponential form is:

75269 = 75269¹

Step-2: Prime Factorization of 75275

Prime factors of 75275 are 5, 3011. Prime factorization of 75275 in exponential form is:

75275 = 5² × 3011¹

Step-3: Factors of 75269

List of positive integer factors of 75269 that divides 75269 without a remainder.

Step-4: Factors of 75275

List of positive integer factors of 75275 that divides 75269 without a remainder.

1, 5, 25, 3011, 15055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75269 and 75275. The biggest common factor number is the GCF number.
So the greatest common factor 75269 and 75275 is 1.

Also check out the Least Common Multiple of 75269 and 75275