What is the Greatest Common Factor of 75776 and 75784?

Greatest common factor (GCF) of 75776 and 75784 is 8.

GCF(75776,75784) = 8

We will now calculate the prime factors of 75776 and 75784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75776 and 75784.

How to find the GCF of 75776 and 75784?

We will first find the prime factorization of 75776 and 75784. After we will calculate the factors of 75776 and 75784 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 75784

Prime factors of 75784 are 2, 9473. Prime factorization of 75784 in exponential form is:

75784 = 2³ × 9473¹

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 75784

List of positive integer factors of 75784 that divides 75776 without a remainder.

1, 2, 4, 8, 9473, 18946, 37892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75776 and 75784. The biggest common factor number is the GCF number.
So the greatest common factor 75776 and 75784 is 8.

Also check out the Least Common Multiple of 75776 and 75784