What is the Greatest Common Factor of 76342 and 76351?

Greatest common factor (GCF) of 76342 and 76351 is 1.

GCF(76342,76351) = 1

We will now calculate the prime factors of 76342 and 76351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76342 and 76351.

How to find the GCF of 76342 and 76351?

We will first find the prime factorization of 76342 and 76351. After we will calculate the factors of 76342 and 76351 and find the biggest common factor number .

Step-1: Prime Factorization of 76342

Prime factors of 76342 are 2, 7, 19, 41. Prime factorization of 76342 in exponential form is:

76342 = 2¹ × 7² × 19¹ × 41¹

Step-2: Prime Factorization of 76351

Prime factors of 76351 are 11, 631. Prime factorization of 76351 in exponential form is:

76351 = 11² × 631¹

Step-3: Factors of 76342

List of positive integer factors of 76342 that divides 76342 without a remainder.

1, 2, 7, 14, 19, 38, 41, 49, 82, 98, 133, 266, 287, 574, 779, 931, 1558, 1862, 2009, 4018, 5453, 10906, 38171

Step-4: Factors of 76351

List of positive integer factors of 76351 that divides 76342 without a remainder.

1, 11, 121, 631, 6941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76342 and 76351. The biggest common factor number is the GCF number.
So the greatest common factor 76342 and 76351 is 1.

Also check out the Least Common Multiple of 76342 and 76351