What is the Greatest Common Factor of 76338 and 76355?

Greatest common factor (GCF) of 76338 and 76355 is 1.

GCF(76338,76355) = 1

We will now calculate the prime factors of 76338 and 76355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76338 and 76355.

How to find the GCF of 76338 and 76355?

We will first find the prime factorization of 76338 and 76355. After we will calculate the factors of 76338 and 76355 and find the biggest common factor number .

Step-1: Prime Factorization of 76338

Prime factors of 76338 are 2, 3, 4241. Prime factorization of 76338 in exponential form is:

76338 = 2¹ × 3² × 4241¹

Step-2: Prime Factorization of 76355

Prime factors of 76355 are 5, 15271. Prime factorization of 76355 in exponential form is:

76355 = 5¹ × 15271¹

Step-3: Factors of 76338

List of positive integer factors of 76338 that divides 76338 without a remainder.

1, 2, 3, 6, 9, 18, 4241, 8482, 12723, 25446, 38169

Step-4: Factors of 76355

List of positive integer factors of 76355 that divides 76338 without a remainder.

1, 5, 15271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76338 and 76355. The biggest common factor number is the GCF number.
So the greatest common factor 76338 and 76355 is 1.

Also check out the Least Common Multiple of 76338 and 76355