What is the Greatest Common Factor of 75261 and 75267?

Greatest common factor (GCF) of 75261 and 75267 is 3.

GCF(75261,75267) = 3

We will now calculate the prime factors of 75261 and 75267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75261 and 75267.

How to find the GCF of 75261 and 75267?

We will first find the prime factorization of 75261 and 75267. After we will calculate the factors of 75261 and 75267 and find the biggest common factor number .

Step-1: Prime Factorization of 75261

Prime factors of 75261 are 3, 25087. Prime factorization of 75261 in exponential form is:

75261 = 3¹ × 25087¹

Step-2: Prime Factorization of 75267

Prime factors of 75267 are 3, 8363. Prime factorization of 75267 in exponential form is:

75267 = 3² × 8363¹

Step-3: Factors of 75261

List of positive integer factors of 75261 that divides 75261 without a remainder.

1, 3, 25087

Step-4: Factors of 75267

List of positive integer factors of 75267 that divides 75261 without a remainder.

1, 3, 9, 8363, 25089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75261 and 75267. The biggest common factor number is the GCF number.
So the greatest common factor 75261 and 75267 is 3.

Also check out the Least Common Multiple of 75261 and 75267