What is the Greatest Common Factor of 78680 and 78695?

Greatest common factor (GCF) of 78680 and 78695 is 5.

GCF(78680,78695) = 5

We will now calculate the prime factors of 78680 and 78695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78680 and 78695.

How to find the GCF of 78680 and 78695?

We will first find the prime factorization of 78680 and 78695. After we will calculate the factors of 78680 and 78695 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 78695

Prime factors of 78695 are 5, 15739. Prime factorization of 78695 in exponential form is:

78695 = 5¹ × 15739¹

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 78695

List of positive integer factors of 78695 that divides 78680 without a remainder.

1, 5, 15739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78680 and 78695. The biggest common factor number is the GCF number.
So the greatest common factor 78680 and 78695 is 5.

Also check out the Least Common Multiple of 78680 and 78695