What is the Greatest Common Factor of 77176 and 77192?

Greatest common factor (GCF) of 77176 and 77192 is 8.

GCF(77176,77192) = 8

We will now calculate the prime factors of 77176 and 77192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77176 and 77192.

How to find the GCF of 77176 and 77192?

We will first find the prime factorization of 77176 and 77192. After we will calculate the factors of 77176 and 77192 and find the biggest common factor number .

Step-1: Prime Factorization of 77176

Prime factors of 77176 are 2, 11, 877. Prime factorization of 77176 in exponential form is:

77176 = 2³ × 11¹ × 877¹

Step-2: Prime Factorization of 77192

Prime factors of 77192 are 2, 9649. Prime factorization of 77192 in exponential form is:

77192 = 2³ × 9649¹

Step-3: Factors of 77176

List of positive integer factors of 77176 that divides 77176 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 877, 1754, 3508, 7016, 9647, 19294, 38588

Step-4: Factors of 77192

List of positive integer factors of 77192 that divides 77176 without a remainder.

1, 2, 4, 8, 9649, 19298, 38596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77176 and 77192. The biggest common factor number is the GCF number.
So the greatest common factor 77176 and 77192 is 8.

Also check out the Least Common Multiple of 77176 and 77192