What is the Greatest Common Factor of 76116 and 76130?

Greatest common factor (GCF) of 76116 and 76130 is 2.

GCF(76116,76130) = 2

We will now calculate the prime factors of 76116 and 76130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76116 and 76130.

How to find the GCF of 76116 and 76130?

We will first find the prime factorization of 76116 and 76130. After we will calculate the factors of 76116 and 76130 and find the biggest common factor number .

Step-1: Prime Factorization of 76116

Prime factors of 76116 are 2, 3, 6343. Prime factorization of 76116 in exponential form is:

76116 = 2² × 3¹ × 6343¹

Step-2: Prime Factorization of 76130

Prime factors of 76130 are 2, 5, 23, 331. Prime factorization of 76130 in exponential form is:

76130 = 2¹ × 5¹ × 23¹ × 331¹

Step-3: Factors of 76116

List of positive integer factors of 76116 that divides 76116 without a remainder.

1, 2, 3, 4, 6, 12, 6343, 12686, 19029, 25372, 38058

Step-4: Factors of 76130

List of positive integer factors of 76130 that divides 76116 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 331, 662, 1655, 3310, 7613, 15226, 38065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76116 and 76130. The biggest common factor number is the GCF number.
So the greatest common factor 76116 and 76130 is 2.

Also check out the Least Common Multiple of 76116 and 76130