What is the Greatest Common Factor of 76740 and 76751?

Greatest common factor (GCF) of 76740 and 76751 is 1.

GCF(76740,76751) = 1

We will now calculate the prime factors of 76740 and 76751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76740 and 76751.

How to find the GCF of 76740 and 76751?

We will first find the prime factorization of 76740 and 76751. After we will calculate the factors of 76740 and 76751 and find the biggest common factor number .

Step-1: Prime Factorization of 76740

Prime factors of 76740 are 2, 3, 5, 1279. Prime factorization of 76740 in exponential form is:

76740 = 2² × 3¹ × 5¹ × 1279¹

Step-2: Prime Factorization of 76751

Prime factors of 76751 are 23, 47, 71. Prime factorization of 76751 in exponential form is:

76751 = 23¹ × 47¹ × 71¹

Step-3: Factors of 76740

List of positive integer factors of 76740 that divides 76740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1279, 2558, 3837, 5116, 6395, 7674, 12790, 15348, 19185, 25580, 38370

Step-4: Factors of 76751

List of positive integer factors of 76751 that divides 76740 without a remainder.

1, 23, 47, 71, 1081, 1633, 3337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76740 and 76751. The biggest common factor number is the GCF number.
So the greatest common factor 76740 and 76751 is 1.

Also check out the Least Common Multiple of 76740 and 76751