What is the Greatest Common Factor of 76298 and 76316?

Greatest common factor (GCF) of 76298 and 76316 is 2.

GCF(76298,76316) = 2

We will now calculate the prime factors of 76298 and 76316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76298 and 76316.

How to find the GCF of 76298 and 76316?

We will first find the prime factorization of 76298 and 76316. After we will calculate the factors of 76298 and 76316 and find the biggest common factor number .

Step-1: Prime Factorization of 76298

Prime factors of 76298 are 2, 38149. Prime factorization of 76298 in exponential form is:

76298 = 2¹ × 38149¹

Step-2: Prime Factorization of 76316

Prime factors of 76316 are 2, 19079. Prime factorization of 76316 in exponential form is:

76316 = 2² × 19079¹

Step-3: Factors of 76298

List of positive integer factors of 76298 that divides 76298 without a remainder.

1, 2, 38149

Step-4: Factors of 76316

List of positive integer factors of 76316 that divides 76298 without a remainder.

1, 2, 4, 19079, 38158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76298 and 76316. The biggest common factor number is the GCF number.
So the greatest common factor 76298 and 76316 is 2.

Also check out the Least Common Multiple of 76298 and 76316