What is the Greatest Common Factor of 90364 and 90371?

Greatest common factor (GCF) of 90364 and 90371 is 1.

GCF(90364,90371) = 1

We will now calculate the prime factors of 90364 and 90371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90364 and 90371.

How to find the GCF of 90364 and 90371?

We will first find the prime factorization of 90364 and 90371. After we will calculate the factors of 90364 and 90371 and find the biggest common factor number .

Step-1: Prime Factorization of 90364

Prime factors of 90364 are 2, 19, 29, 41. Prime factorization of 90364 in exponential form is:

90364 = 2² × 19¹ × 29¹ × 41¹

Step-2: Prime Factorization of 90371

Prime factors of 90371 are 90371. Prime factorization of 90371 in exponential form is:

90371 = 90371¹

Step-3: Factors of 90364

List of positive integer factors of 90364 that divides 90364 without a remainder.

1, 2, 4, 19, 29, 38, 41, 58, 76, 82, 116, 164, 551, 779, 1102, 1189, 1558, 2204, 2378, 3116, 4756, 22591, 45182

Step-4: Factors of 90371

List of positive integer factors of 90371 that divides 90364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90364 and 90371. The biggest common factor number is the GCF number.
So the greatest common factor 90364 and 90371 is 1.

Also check out the Least Common Multiple of 90364 and 90371