What is the Greatest Common Factor of 76328 and 76348?

Greatest common factor (GCF) of 76328 and 76348 is 4.

GCF(76328,76348) = 4

We will now calculate the prime factors of 76328 and 76348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76328 and 76348.

How to find the GCF of 76328 and 76348?

We will first find the prime factorization of 76328 and 76348. After we will calculate the factors of 76328 and 76348 and find the biggest common factor number .

Step-1: Prime Factorization of 76328

Prime factors of 76328 are 2, 7, 29, 47. Prime factorization of 76328 in exponential form is:

76328 = 2³ × 7¹ × 29¹ × 47¹

Step-2: Prime Factorization of 76348

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

76348 = 2² × 19087¹

Step-3: Factors of 76328

List of positive integer factors of 76328 that divides 76328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 47, 56, 58, 94, 116, 188, 203, 232, 329, 376, 406, 658, 812, 1316, 1363, 1624, 2632, 2726, 5452, 9541, 10904, 19082, 38164

Step-4: Factors of 76348

List of positive integer factors of 76348 that divides 76328 without a remainder.

1, 2, 4, 19087, 38174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76328 and 76348. The biggest common factor number is the GCF number.
So the greatest common factor 76328 and 76348 is 4.

Also check out the Least Common Multiple of 76328 and 76348