What is the Greatest Common Factor of 75258 and 75268?

Greatest common factor (GCF) of 75258 and 75268 is 2.

GCF(75258,75268) = 2

We will now calculate the prime factors of 75258 and 75268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75258 and 75268.

How to find the GCF of 75258 and 75268?

We will first find the prime factorization of 75258 and 75268. After we will calculate the factors of 75258 and 75268 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 75268

Prime factors of 75268 are 2, 31, 607. Prime factorization of 75268 in exponential form is:

75268 = 2² × 31¹ × 607¹

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 75268

List of positive integer factors of 75268 that divides 75258 without a remainder.

1, 2, 4, 31, 62, 124, 607, 1214, 2428, 18817, 37634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75258 and 75268. The biggest common factor number is the GCF number.
So the greatest common factor 75258 and 75268 is 2.

Also check out the Least Common Multiple of 75258 and 75268