What is the Greatest Common Factor of 75345 and 75364?

Greatest common factor (GCF) of 75345 and 75364 is 1.

GCF(75345,75364) = 1

We will now calculate the prime factors of 75345 and 75364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75345 and 75364.

How to find the GCF of 75345 and 75364?

We will first find the prime factorization of 75345 and 75364. After we will calculate the factors of 75345 and 75364 and find the biggest common factor number .

Step-1: Prime Factorization of 75345

Prime factors of 75345 are 3, 5, 5023. Prime factorization of 75345 in exponential form is:

75345 = 3¹ × 5¹ × 5023¹

Step-2: 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-3: Factors of 75345

List of positive integer factors of 75345 that divides 75345 without a remainder.

1, 3, 5, 15, 5023, 15069, 25115

Step-4: Factors of 75364

List of positive integer factors of 75364 that divides 75345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75345 and 75364. The biggest common factor number is the GCF number.
So the greatest common factor 75345 and 75364 is 1.

Also check out the Least Common Multiple of 75345 and 75364