What is the Greatest Common Factor of 75584 and 75604?

Greatest common factor (GCF) of 75584 and 75604 is 4.

GCF(75584,75604) = 4

We will now calculate the prime factors of 75584 and 75604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75584 and 75604.

How to find the GCF of 75584 and 75604?

We will first find the prime factorization of 75584 and 75604. After we will calculate the factors of 75584 and 75604 and find the biggest common factor number .

Step-1: Prime Factorization of 75584

Prime factors of 75584 are 2, 1181. Prime factorization of 75584 in exponential form is:

75584 = 2⁶ × 1181¹

Step-2: 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-3: Factors of 75584

List of positive integer factors of 75584 that divides 75584 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1181, 2362, 4724, 9448, 18896, 37792

Step-4: Factors of 75604

List of positive integer factors of 75604 that divides 75584 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75584 and 75604. The biggest common factor number is the GCF number.
So the greatest common factor 75584 and 75604 is 4.

Also check out the Least Common Multiple of 75584 and 75604