What is the Greatest Common Factor of 75776 and 75792?

Greatest common factor (GCF) of 75776 and 75792 is 16.

GCF(75776,75792) = 16

We will now calculate the prime factors of 75776 and 75792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75776 and 75792.

How to find the GCF of 75776 and 75792?

We will first find the prime factorization of 75776 and 75792. After we will calculate the factors of 75776 and 75792 and find the biggest common factor number .

Step-1: Prime Factorization of 75776

Prime factors of 75776 are 2, 37. Prime factorization of 75776 in exponential form is:

75776 = 2¹¹ × 37¹

Step-2: 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-3: Factors of 75776

List of positive integer factors of 75776 that divides 75776 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 512, 592, 1024, 1184, 2048, 2368, 4736, 9472, 18944, 37888

Step-4: Factors of 75792

List of positive integer factors of 75792 that divides 75776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75776 and 75792. The biggest common factor number is the GCF number.
So the greatest common factor 75776 and 75792 is 16.

Also check out the Least Common Multiple of 75776 and 75792