What is the Greatest Common Factor of 90380 and 90395?

Greatest common factor (GCF) of 90380 and 90395 is 5.

GCF(90380,90395) = 5

We will now calculate the prime factors of 90380 and 90395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90380 and 90395.

How to find the GCF of 90380 and 90395?

We will first find the prime factorization of 90380 and 90395. After we will calculate the factors of 90380 and 90395 and find the biggest common factor number .

Step-1: Prime Factorization of 90380

Prime factors of 90380 are 2, 5, 4519. Prime factorization of 90380 in exponential form is:

90380 = 2² × 5¹ × 4519¹

Step-2: Prime Factorization of 90395

Prime factors of 90395 are 5, 101, 179. Prime factorization of 90395 in exponential form is:

90395 = 5¹ × 101¹ × 179¹

Step-3: Factors of 90380

List of positive integer factors of 90380 that divides 90380 without a remainder.

1, 2, 4, 5, 10, 20, 4519, 9038, 18076, 22595, 45190

Step-4: Factors of 90395

List of positive integer factors of 90395 that divides 90380 without a remainder.

1, 5, 101, 179, 505, 895, 18079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90380 and 90395. The biggest common factor number is the GCF number.
So the greatest common factor 90380 and 90395 is 5.

Also check out the Least Common Multiple of 90380 and 90395