What is the Greatest Common Factor of 90648 and 90664?

Greatest common factor (GCF) of 90648 and 90664 is 8.

GCF(90648,90664) = 8

We will now calculate the prime factors of 90648 and 90664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90648 and 90664.

How to find the GCF of 90648 and 90664?

We will first find the prime factorization of 90648 and 90664. After we will calculate the factors of 90648 and 90664 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 90664

Prime factors of 90664 are 2, 7, 1619. Prime factorization of 90664 in exponential form is:

90664 = 2³ × 7¹ × 1619¹

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 90664

List of positive integer factors of 90664 that divides 90648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1619, 3238, 6476, 11333, 12952, 22666, 45332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90648 and 90664. The biggest common factor number is the GCF number.
So the greatest common factor 90648 and 90664 is 8.

Also check out the Least Common Multiple of 90648 and 90664