What is the Greatest Common Factor of 75258 and 75265?

Greatest common factor (GCF) of 75258 and 75265 is 1.

GCF(75258,75265) = 1

We will now calculate the prime factors of 75258 and 75265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75258 and 75265.

How to find the GCF of 75258 and 75265?

We will first find the prime factorization of 75258 and 75265. After we will calculate the factors of 75258 and 75265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75265

Prime factors of 75265 are 5, 15053. Prime factorization of 75265 in exponential form is:

75265 = 5¹ × 15053¹

Step-3: Factors of 75258

List of positive integer factors of 75258 that divides 75258 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

Step-4: Factors of 75265

List of positive integer factors of 75265 that divides 75258 without a remainder.

1, 5, 15053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75258 and 75265. The biggest common factor number is the GCF number.
So the greatest common factor 75258 and 75265 is 1.

Also check out the Least Common Multiple of 75258 and 75265