What is the Greatest Common Factor of 90964 and 90976?

Greatest common factor (GCF) of 90964 and 90976 is 4.

GCF(90964,90976) = 4

We will now calculate the prime factors of 90964 and 90976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90964 and 90976.

How to find the GCF of 90964 and 90976?

We will first find the prime factorization of 90964 and 90976. After we will calculate the factors of 90964 and 90976 and find the biggest common factor number .

Step-1: Prime Factorization of 90964

Prime factors of 90964 are 2, 22741. Prime factorization of 90964 in exponential form is:

90964 = 2² × 22741¹

Step-2: Prime Factorization of 90976

Prime factors of 90976 are 2, 2843. Prime factorization of 90976 in exponential form is:

90976 = 2⁵ × 2843¹

Step-3: Factors of 90964

List of positive integer factors of 90964 that divides 90964 without a remainder.

1, 2, 4, 22741, 45482

Step-4: Factors of 90976

List of positive integer factors of 90976 that divides 90964 without a remainder.

1, 2, 4, 8, 16, 32, 2843, 5686, 11372, 22744, 45488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90964 and 90976. The biggest common factor number is the GCF number.
So the greatest common factor 90964 and 90976 is 4.

Also check out the Least Common Multiple of 90964 and 90976