What is the Greatest Common Factor of 76132 and 76138?

Greatest common factor (GCF) of 76132 and 76138 is 2.

GCF(76132,76138) = 2

We will now calculate the prime factors of 76132 and 76138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76132 and 76138.

How to find the GCF of 76132 and 76138?

We will first find the prime factorization of 76132 and 76138. After we will calculate the factors of 76132 and 76138 and find the biggest common factor number .

Step-1: Prime Factorization of 76132

Prime factors of 76132 are 2, 7, 2719. Prime factorization of 76132 in exponential form is:

76132 = 2² × 7¹ × 2719¹

Step-2: Prime Factorization of 76138

Prime factors of 76138 are 2, 38069. Prime factorization of 76138 in exponential form is:

76138 = 2¹ × 38069¹

Step-3: Factors of 76132

List of positive integer factors of 76132 that divides 76132 without a remainder.

1, 2, 4, 7, 14, 28, 2719, 5438, 10876, 19033, 38066

Step-4: Factors of 76138

List of positive integer factors of 76138 that divides 76132 without a remainder.

1, 2, 38069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76132 and 76138. The biggest common factor number is the GCF number.
So the greatest common factor 76132 and 76138 is 2.

Also check out the Least Common Multiple of 76132 and 76138