What is the Greatest Common Factor of 90657 and 90671?

Greatest common factor (GCF) of 90657 and 90671 is 7.

GCF(90657,90671) = 7

We will now calculate the prime factors of 90657 and 90671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90657 and 90671.

How to find the GCF of 90657 and 90671?

We will first find the prime factorization of 90657 and 90671. After we will calculate the factors of 90657 and 90671 and find the biggest common factor number .

Step-1: Prime Factorization of 90657

Prime factors of 90657 are 3, 7, 1439. Prime factorization of 90657 in exponential form is:

90657 = 3² × 7¹ × 1439¹

Step-2: Prime Factorization of 90671

Prime factors of 90671 are 7, 12953. Prime factorization of 90671 in exponential form is:

90671 = 7¹ × 12953¹

Step-3: Factors of 90657

List of positive integer factors of 90657 that divides 90657 without a remainder.

1, 3, 7, 9, 21, 63, 1439, 4317, 10073, 12951, 30219

Step-4: Factors of 90671

List of positive integer factors of 90671 that divides 90657 without a remainder.

1, 7, 12953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90657 and 90671. The biggest common factor number is the GCF number.
So the greatest common factor 90657 and 90671 is 7.

Also check out the Least Common Multiple of 90657 and 90671