What is the Greatest Common Factor of 90596 and 90612?

Greatest common factor (GCF) of 90596 and 90612 is 4.

GCF(90596,90612) = 4

We will now calculate the prime factors of 90596 and 90612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90596 and 90612.

How to find the GCF of 90596 and 90612?

We will first find the prime factorization of 90596 and 90612. After we will calculate the factors of 90596 and 90612 and find the biggest common factor number .

Step-1: Prime Factorization of 90596

Prime factors of 90596 are 2, 11, 29, 71. Prime factorization of 90596 in exponential form is:

90596 = 2² × 11¹ × 29¹ × 71¹

Step-2: Prime Factorization of 90612

Prime factors of 90612 are 2, 3, 839. Prime factorization of 90612 in exponential form is:

90612 = 2² × 3³ × 839¹

Step-3: Factors of 90596

List of positive integer factors of 90596 that divides 90596 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 71, 116, 142, 284, 319, 638, 781, 1276, 1562, 2059, 3124, 4118, 8236, 22649, 45298

Step-4: Factors of 90612

List of positive integer factors of 90612 that divides 90596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 839, 1678, 2517, 3356, 5034, 7551, 10068, 15102, 22653, 30204, 45306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90596 and 90612. The biggest common factor number is the GCF number.
So the greatest common factor 90596 and 90612 is 4.

Also check out the Least Common Multiple of 90596 and 90612