What is the Greatest Common Factor of 78680 and 78689?

Greatest common factor (GCF) of 78680 and 78689 is 1.

GCF(78680,78689) = 1

We will now calculate the prime factors of 78680 and 78689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78680 and 78689.

How to find the GCF of 78680 and 78689?

We will first find the prime factorization of 78680 and 78689. After we will calculate the factors of 78680 and 78689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78689

Prime factors of 78689 are 13, 6053. Prime factorization of 78689 in exponential form is:

78689 = 13¹ × 6053¹

Step-3: Factors of 78680

List of positive integer factors of 78680 that divides 78680 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

Step-4: Factors of 78689

List of positive integer factors of 78689 that divides 78680 without a remainder.

1, 13, 6053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78680 and 78689. The biggest common factor number is the GCF number.
So the greatest common factor 78680 and 78689 is 1.

Also check out the Least Common Multiple of 78680 and 78689