What is the Greatest Common Factor of 75584 and 75592?

Greatest common factor (GCF) of 75584 and 75592 is 8.

GCF(75584,75592) = 8

We will now calculate the prime factors of 75584 and 75592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75584 and 75592.

How to find the GCF of 75584 and 75592?

We will first find the prime factorization of 75584 and 75592. After we will calculate the factors of 75584 and 75592 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 75592

Prime factors of 75592 are 2, 11, 859. Prime factorization of 75592 in exponential form is:

75592 = 2³ × 11¹ × 859¹

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 75592

List of positive integer factors of 75592 that divides 75584 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 859, 1718, 3436, 6872, 9449, 18898, 37796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75584 and 75592. The biggest common factor number is the GCF number.
So the greatest common factor 75584 and 75592 is 8.

Also check out the Least Common Multiple of 75584 and 75592