What is the Greatest Common Factor of 78665 and 78680?

Greatest common factor (GCF) of 78665 and 78680 is 5.

GCF(78665,78680) = 5

We will now calculate the prime factors of 78665 and 78680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78665 and 78680.

How to find the GCF of 78665 and 78680?

We will first find the prime factorization of 78665 and 78680. After we will calculate the factors of 78665 and 78680 and find the biggest common factor number .

Step-1: Prime Factorization of 78665

Prime factors of 78665 are 5, 15733. Prime factorization of 78665 in exponential form is:

78665 = 5¹ × 15733¹

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 78665

List of positive integer factors of 78665 that divides 78665 without a remainder.

1, 5, 15733

Step-4: Factors of 78680

List of positive integer factors of 78680 that divides 78665 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 78665 and 78680. The biggest common factor number is the GCF number.
So the greatest common factor 78665 and 78680 is 5.

Also check out the Least Common Multiple of 78665 and 78680