What is the Greatest Common Factor of 78680 and 78700?

Greatest common factor (GCF) of 78680 and 78700 is 20.

GCF(78680,78700) = 20

We will now calculate the prime factors of 78680 and 78700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78680 and 78700.

How to find the GCF of 78680 and 78700?

We will first find the prime factorization of 78680 and 78700. After we will calculate the factors of 78680 and 78700 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 78700

Prime factors of 78700 are 2, 5, 787. Prime factorization of 78700 in exponential form is:

78700 = 2² × 5² × 787¹

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 78700

List of positive integer factors of 78700 that divides 78680 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 787, 1574, 3148, 3935, 7870, 15740, 19675, 39350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78680 and 78700. The biggest common factor number is the GCF number.
So the greatest common factor 78680 and 78700 is 20.

Also check out the Least Common Multiple of 78680 and 78700