What is the Greatest Common Factor of 90648 and 90657?

Greatest common factor (GCF) of 90648 and 90657 is 9.

GCF(90648,90657) = 9

We will now calculate the prime factors of 90648 and 90657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90648 and 90657.

How to find the GCF of 90648 and 90657?

We will first find the prime factorization of 90648 and 90657. After we will calculate the factors of 90648 and 90657 and find the biggest common factor number .

Step-1: Prime Factorization of 90648

Prime factors of 90648 are 2, 3, 1259. Prime factorization of 90648 in exponential form is:

90648 = 2³ × 3² × 1259¹

Step-2: 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-3: Factors of 90648

List of positive integer factors of 90648 that divides 90648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1259, 2518, 3777, 5036, 7554, 10072, 11331, 15108, 22662, 30216, 45324

Step-4: Factors of 90657

List of positive integer factors of 90657 that divides 90648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90648 and 90657. The biggest common factor number is the GCF number.
So the greatest common factor 90648 and 90657 is 9.

Also check out the Least Common Multiple of 90648 and 90657