What is the Greatest Common Factor of 75792 and 75808?

Greatest common factor (GCF) of 75792 and 75808 is 16.

GCF(75792,75808) = 16

We will now calculate the prime factors of 75792 and 75808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75792 and 75808.

How to find the GCF of 75792 and 75808?

We will first find the prime factorization of 75792 and 75808. After we will calculate the factors of 75792 and 75808 and find the biggest common factor number .

Step-1: Prime Factorization of 75792

Prime factors of 75792 are 2, 3, 1579. Prime factorization of 75792 in exponential form is:

75792 = 2⁴ × 3¹ × 1579¹

Step-2: Prime Factorization of 75808

Prime factors of 75808 are 2, 23, 103. Prime factorization of 75808 in exponential form is:

75808 = 2⁵ × 23¹ × 103¹

Step-3: Factors of 75792

List of positive integer factors of 75792 that divides 75792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1579, 3158, 4737, 6316, 9474, 12632, 18948, 25264, 37896

Step-4: Factors of 75808

List of positive integer factors of 75808 that divides 75792 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 103, 184, 206, 368, 412, 736, 824, 1648, 2369, 3296, 4738, 9476, 18952, 37904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75792 and 75808. The biggest common factor number is the GCF number.
So the greatest common factor 75792 and 75808 is 16.

Also check out the Least Common Multiple of 75792 and 75808