What is the Greatest Common Factor of 76130 and 76134?

Greatest common factor (GCF) of 76130 and 76134 is 2.

GCF(76130,76134) = 2

We will now calculate the prime factors of 76130 and 76134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76130 and 76134.

How to find the GCF of 76130 and 76134?

We will first find the prime factorization of 76130 and 76134. After we will calculate the factors of 76130 and 76134 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76134

Prime factors of 76134 are 2, 3, 12689. Prime factorization of 76134 in exponential form is:

76134 = 2¹ × 3¹ × 12689¹

Step-3: Factors of 76130

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

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

Step-4: Factors of 76134

List of positive integer factors of 76134 that divides 76130 without a remainder.

1, 2, 3, 6, 12689, 25378, 38067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76130 and 76134. The biggest common factor number is the GCF number.
So the greatest common factor 76130 and 76134 is 2.

Also check out the Least Common Multiple of 76130 and 76134