What is the Greatest Common Factor of 78667 and 78675?

Greatest common factor (GCF) of 78667 and 78675 is 1.

GCF(78667,78675) = 1

We will now calculate the prime factors of 78667 and 78675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78667 and 78675.

How to find the GCF of 78667 and 78675?

We will first find the prime factorization of 78667 and 78675. After we will calculate the factors of 78667 and 78675 and find the biggest common factor number .

Step-1: Prime Factorization of 78667

Prime factors of 78667 are 97, 811. Prime factorization of 78667 in exponential form is:

78667 = 97¹ × 811¹

Step-2: Prime Factorization of 78675

Prime factors of 78675 are 3, 5, 1049. Prime factorization of 78675 in exponential form is:

78675 = 3¹ × 5² × 1049¹

Step-3: Factors of 78667

List of positive integer factors of 78667 that divides 78667 without a remainder.

1, 97, 811

Step-4: Factors of 78675

List of positive integer factors of 78675 that divides 78667 without a remainder.

1, 3, 5, 15, 25, 75, 1049, 3147, 5245, 15735, 26225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78667 and 78675. The biggest common factor number is the GCF number.
So the greatest common factor 78667 and 78675 is 1.

Also check out the Least Common Multiple of 78667 and 78675