What is the Greatest Common Factor of 78667 and 78680?

Greatest common factor (GCF) of 78667 and 78680 is 1.

GCF(78667,78680) = 1

We will now calculate the prime factors of 78667 and 78680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78667 and 78680.

How to find the GCF of 78667 and 78680?

We will first find the prime factorization of 78667 and 78680. After we will calculate the factors of 78667 and 78680 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 78680

Prime factors of 78680 are 2, 5, 7, 281. Prime factorization of 78680 in exponential form is:

78680 = 2³ × 5¹ × 7¹ × 281¹

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 78680

List of positive integer factors of 78680 that divides 78667 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 281, 562, 1124, 1405, 1967, 2248, 2810, 3934, 5620, 7868, 9835, 11240, 15736, 19670, 39340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78667 and 78680. The biggest common factor number is the GCF number.
So the greatest common factor 78667 and 78680 is 1.

Also check out the Least Common Multiple of 78667 and 78680