What is the Greatest Common Factor of 76558 and 76567?

Greatest common factor (GCF) of 76558 and 76567 is 1.

GCF(76558,76567) = 1

We will now calculate the prime factors of 76558 and 76567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76558 and 76567.

How to find the GCF of 76558 and 76567?

We will first find the prime factorization of 76558 and 76567. After we will calculate the factors of 76558 and 76567 and find the biggest common factor number .

Step-1: Prime Factorization of 76558

Prime factors of 76558 are 2, 101, 379. Prime factorization of 76558 in exponential form is:

76558 = 2¹ × 101¹ × 379¹

Step-2: Prime Factorization of 76567

Prime factors of 76567 are 23, 3329. Prime factorization of 76567 in exponential form is:

76567 = 23¹ × 3329¹

Step-3: Factors of 76558

List of positive integer factors of 76558 that divides 76558 without a remainder.

1, 2, 101, 202, 379, 758, 38279

Step-4: Factors of 76567

List of positive integer factors of 76567 that divides 76558 without a remainder.

1, 23, 3329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76558 and 76567. The biggest common factor number is the GCF number.
So the greatest common factor 76558 and 76567 is 1.

Also check out the Least Common Multiple of 76558 and 76567