What is the Greatest Common Factor of 90960 and 90964?

Greatest common factor (GCF) of 90960 and 90964 is 4.

GCF(90960,90964) = 4

We will now calculate the prime factors of 90960 and 90964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90960 and 90964.

How to find the GCF of 90960 and 90964?

We will first find the prime factorization of 90960 and 90964. After we will calculate the factors of 90960 and 90964 and find the biggest common factor number .

Step-1: Prime Factorization of 90960

Prime factors of 90960 are 2, 3, 5, 379. Prime factorization of 90960 in exponential form is:

90960 = 2⁴ × 3¹ × 5¹ × 379¹

Step-2: Prime Factorization of 90964

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

90964 = 2² × 22741¹

Step-3: Factors of 90960

List of positive integer factors of 90960 that divides 90960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 379, 758, 1137, 1516, 1895, 2274, 3032, 3790, 4548, 5685, 6064, 7580, 9096, 11370, 15160, 18192, 22740, 30320, 45480

Step-4: Factors of 90964

List of positive integer factors of 90964 that divides 90960 without a remainder.

1, 2, 4, 22741, 45482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90960 and 90964. The biggest common factor number is the GCF number.
So the greatest common factor 90960 and 90964 is 4.

Also check out the Least Common Multiple of 90960 and 90964