What is the Greatest Common Factor of 76114 and 76130?

Greatest common factor (GCF) of 76114 and 76130 is 2.

GCF(76114,76130) = 2

We will now calculate the prime factors of 76114 and 76130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76114 and 76130.

How to find the GCF of 76114 and 76130?

We will first find the prime factorization of 76114 and 76130. After we will calculate the factors of 76114 and 76130 and find the biggest common factor number .

Step-1: Prime Factorization of 76114

Prime factors of 76114 are 2, 19, 2003. Prime factorization of 76114 in exponential form is:

76114 = 2¹ × 19¹ × 2003¹

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 76114

List of positive integer factors of 76114 that divides 76114 without a remainder.

1, 2, 19, 38, 2003, 4006, 38057

Step-4: Factors of 76130

List of positive integer factors of 76130 that divides 76114 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 76114 and 76130. The biggest common factor number is the GCF number.
So the greatest common factor 76114 and 76130 is 2.

Also check out the Least Common Multiple of 76114 and 76130