What is the Greatest Common Factor of 90965 and 90979?

Greatest common factor (GCF) of 90965 and 90979 is 7.

GCF(90965,90979) = 7

We will now calculate the prime factors of 90965 and 90979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90965 and 90979.

How to find the GCF of 90965 and 90979?

We will first find the prime factorization of 90965 and 90979. After we will calculate the factors of 90965 and 90979 and find the biggest common factor number .

Step-1: Prime Factorization of 90965

Prime factors of 90965 are 5, 7, 23, 113. Prime factorization of 90965 in exponential form is:

90965 = 5¹ × 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 90979

Prime factors of 90979 are 7, 41, 317. Prime factorization of 90979 in exponential form is:

90979 = 7¹ × 41¹ × 317¹

Step-3: Factors of 90965

List of positive integer factors of 90965 that divides 90965 without a remainder.

1, 5, 7, 23, 35, 113, 115, 161, 565, 791, 805, 2599, 3955, 12995, 18193

Step-4: Factors of 90979

List of positive integer factors of 90979 that divides 90965 without a remainder.

1, 7, 41, 287, 317, 2219, 12997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90965 and 90979. The biggest common factor number is the GCF number.
So the greatest common factor 90965 and 90979 is 7.

Also check out the Least Common Multiple of 90965 and 90979