What is the Greatest Common Factor of 75364 and 75381?

Greatest common factor (GCF) of 75364 and 75381 is 1.

GCF(75364,75381) = 1

We will now calculate the prime factors of 75364 and 75381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75364 and 75381.

How to find the GCF of 75364 and 75381?

We will first find the prime factorization of 75364 and 75381. After we will calculate the factors of 75364 and 75381 and find the biggest common factor number .

Step-1: Prime Factorization of 75364

Prime factors of 75364 are 2, 83, 227. Prime factorization of 75364 in exponential form is:

75364 = 2² × 83¹ × 227¹

Step-2: Prime Factorization of 75381

Prime factors of 75381 are 3, 25127. Prime factorization of 75381 in exponential form is:

75381 = 3¹ × 25127¹

Step-3: Factors of 75364

List of positive integer factors of 75364 that divides 75364 without a remainder.

1, 2, 4, 83, 166, 227, 332, 454, 908, 18841, 37682

Step-4: Factors of 75381

List of positive integer factors of 75381 that divides 75364 without a remainder.

1, 3, 25127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75364 and 75381. The biggest common factor number is the GCF number.
So the greatest common factor 75364 and 75381 is 1.

Also check out the Least Common Multiple of 75364 and 75381