What is the Greatest Common Factor of 76348 and 76366?

Greatest common factor (GCF) of 76348 and 76366 is 2.

GCF(76348,76366) = 2

We will now calculate the prime factors of 76348 and 76366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76348 and 76366.

How to find the GCF of 76348 and 76366?

We will first find the prime factorization of 76348 and 76366. After we will calculate the factors of 76348 and 76366 and find the biggest common factor number .

Step-1: Prime Factorization of 76348

Prime factors of 76348 are 2, 19087. Prime factorization of 76348 in exponential form is:

76348 = 2² × 19087¹

Step-2: Prime Factorization of 76366

Prime factors of 76366 are 2, 38183. Prime factorization of 76366 in exponential form is:

76366 = 2¹ × 38183¹

Step-3: Factors of 76348

List of positive integer factors of 76348 that divides 76348 without a remainder.

1, 2, 4, 19087, 38174

Step-4: Factors of 76366

List of positive integer factors of 76366 that divides 76348 without a remainder.

1, 2, 38183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76348 and 76366. The biggest common factor number is the GCF number.
So the greatest common factor 76348 and 76366 is 2.

Also check out the Least Common Multiple of 76348 and 76366