What is the Greatest Common Factor of 78680 and 78685?

Greatest common factor (GCF) of 78680 and 78685 is 5.

GCF(78680,78685) = 5

We will now calculate the prime factors of 78680 and 78685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78680 and 78685.

How to find the GCF of 78680 and 78685?

We will first find the prime factorization of 78680 and 78685. After we will calculate the factors of 78680 and 78685 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 78685

Prime factors of 78685 are 5, 15737. Prime factorization of 78685 in exponential form is:

78685 = 5¹ × 15737¹

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 78685

List of positive integer factors of 78685 that divides 78680 without a remainder.

1, 5, 15737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78680 and 78685. The biggest common factor number is the GCF number.
So the greatest common factor 78680 and 78685 is 5.

Also check out the Least Common Multiple of 78680 and 78685