What is the Greatest Common Factor of 75249 and 75258?

Greatest common factor (GCF) of 75249 and 75258 is 9.

GCF(75249,75258) = 9

We will now calculate the prime factors of 75249 and 75258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75249 and 75258.

How to find the GCF of 75249 and 75258?

We will first find the prime factorization of 75249 and 75258. After we will calculate the factors of 75249 and 75258 and find the biggest common factor number .

Step-1: Prime Factorization of 75249

Prime factors of 75249 are 3, 929. Prime factorization of 75249 in exponential form is:

75249 = 3⁴ × 929¹

Step-2: Prime Factorization of 75258

Prime factors of 75258 are 2, 3, 37, 113. Prime factorization of 75258 in exponential form is:

75258 = 2¹ × 3² × 37¹ × 113¹

Step-3: Factors of 75249

List of positive integer factors of 75249 that divides 75249 without a remainder.

1, 3, 9, 27, 81, 929, 2787, 8361, 25083

Step-4: Factors of 75258

List of positive integer factors of 75258 that divides 75249 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 113, 222, 226, 333, 339, 666, 678, 1017, 2034, 4181, 8362, 12543, 25086, 37629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75249 and 75258. The biggest common factor number is the GCF number.
So the greatest common factor 75249 and 75258 is 9.

Also check out the Least Common Multiple of 75249 and 75258