What is the Greatest Common Factor of 76110 and 76126?

Greatest common factor (GCF) of 76110 and 76126 is 2.

GCF(76110,76126) = 2

We will now calculate the prime factors of 76110 and 76126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76110 and 76126.

How to find the GCF of 76110 and 76126?

We will first find the prime factorization of 76110 and 76126. After we will calculate the factors of 76110 and 76126 and find the biggest common factor number .

Step-1: Prime Factorization of 76110

Prime factors of 76110 are 2, 3, 5, 43, 59. Prime factorization of 76110 in exponential form is:

76110 = 2¹ × 3¹ × 5¹ × 43¹ × 59¹

Step-2: Prime Factorization of 76126

Prime factors of 76126 are 2, 17, 2239. Prime factorization of 76126 in exponential form is:

76126 = 2¹ × 17¹ × 2239¹

Step-3: Factors of 76110

List of positive integer factors of 76110 that divides 76110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 59, 86, 118, 129, 177, 215, 258, 295, 354, 430, 590, 645, 885, 1290, 1770, 2537, 5074, 7611, 12685, 15222, 25370, 38055

Step-4: Factors of 76126

List of positive integer factors of 76126 that divides 76110 without a remainder.

1, 2, 17, 34, 2239, 4478, 38063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76110 and 76126. The biggest common factor number is the GCF number.
So the greatest common factor 76110 and 76126 is 2.

Also check out the Least Common Multiple of 76110 and 76126