What is the Greatest Common Factor of 75364 and 75382?

Greatest common factor (GCF) of 75364 and 75382 is 2.

GCF(75364,75382) = 2

We will now calculate the prime factors of 75364 and 75382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75364 and 75382.

How to find the GCF of 75364 and 75382?

We will first find the prime factorization of 75364 and 75382. After we will calculate the factors of 75364 and 75382 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 75382

Prime factors of 75382 are 2, 37691. Prime factorization of 75382 in exponential form is:

75382 = 2¹ × 37691¹

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 75382

List of positive integer factors of 75382 that divides 75364 without a remainder.

1, 2, 37691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75364 and 75382. The biggest common factor number is the GCF number.
So the greatest common factor 75364 and 75382 is 2.

Also check out the Least Common Multiple of 75364 and 75382