What is the Greatest Common Factor of 82667 and 82678?

Greatest common factor (GCF) of 82667 and 82678 is 1.

GCF(82667,82678) = 1

We will now calculate the prime factors of 82667 and 82678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82667 and 82678.

How to find the GCF of 82667 and 82678?

We will first find the prime factorization of 82667 and 82678. After we will calculate the factors of 82667 and 82678 and find the biggest common factor number .

Step-1: Prime Factorization of 82667

Prime factors of 82667 are 13, 6359. Prime factorization of 82667 in exponential form is:

82667 = 13¹ × 6359¹

Step-2: Prime Factorization of 82678

Prime factors of 82678 are 2, 67, 617. Prime factorization of 82678 in exponential form is:

82678 = 2¹ × 67¹ × 617¹

Step-3: Factors of 82667

List of positive integer factors of 82667 that divides 82667 without a remainder.

1, 13, 6359

Step-4: Factors of 82678

List of positive integer factors of 82678 that divides 82667 without a remainder.

1, 2, 67, 134, 617, 1234, 41339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82667 and 82678. The biggest common factor number is the GCF number.
So the greatest common factor 82667 and 82678 is 1.

Also check out the Least Common Multiple of 82667 and 82678