What is the Greatest Common Factor of 76364 and 76378?

Greatest common factor (GCF) of 76364 and 76378 is 2.

GCF(76364,76378) = 2

We will now calculate the prime factors of 76364 and 76378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76364 and 76378.

How to find the GCF of 76364 and 76378?

We will first find the prime factorization of 76364 and 76378. After we will calculate the factors of 76364 and 76378 and find the biggest common factor number .

Step-1: Prime Factorization of 76364

Prime factors of 76364 are 2, 17, 1123. Prime factorization of 76364 in exponential form is:

76364 = 2² × 17¹ × 1123¹

Step-2: Prime Factorization of 76378

Prime factors of 76378 are 2, 38189. Prime factorization of 76378 in exponential form is:

76378 = 2¹ × 38189¹

Step-3: Factors of 76364

List of positive integer factors of 76364 that divides 76364 without a remainder.

1, 2, 4, 17, 34, 68, 1123, 2246, 4492, 19091, 38182

Step-4: Factors of 76378

List of positive integer factors of 76378 that divides 76364 without a remainder.

1, 2, 38189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76364 and 76378. The biggest common factor number is the GCF number.
So the greatest common factor 76364 and 76378 is 2.

Also check out the Least Common Multiple of 76364 and 76378