What is the Greatest Common Factor of 75604 and 75612?

Greatest common factor (GCF) of 75604 and 75612 is 4.

GCF(75604,75612) = 4

We will now calculate the prime factors of 75604 and 75612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75604 and 75612.

How to find the GCF of 75604 and 75612?

We will first find the prime factorization of 75604 and 75612. After we will calculate the factors of 75604 and 75612 and find the biggest common factor number .

Step-1: Prime Factorization of 75604

Prime factors of 75604 are 2, 41, 461. Prime factorization of 75604 in exponential form is:

75604 = 2² × 41¹ × 461¹

Step-2: Prime Factorization of 75612

Prime factors of 75612 are 2, 3, 6301. Prime factorization of 75612 in exponential form is:

75612 = 2² × 3¹ × 6301¹

Step-3: Factors of 75604

List of positive integer factors of 75604 that divides 75604 without a remainder.

1, 2, 4, 41, 82, 164, 461, 922, 1844, 18901, 37802

Step-4: Factors of 75612

List of positive integer factors of 75612 that divides 75604 without a remainder.

1, 2, 3, 4, 6, 12, 6301, 12602, 18903, 25204, 37806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75604 and 75612. The biggest common factor number is the GCF number.
So the greatest common factor 75604 and 75612 is 4.

Also check out the Least Common Multiple of 75604 and 75612