What is the Greatest Common Factor of 78700 and 78707?

Greatest common factor (GCF) of 78700 and 78707 is 1.

GCF(78700,78707) = 1

We will now calculate the prime factors of 78700 and 78707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78700 and 78707.

How to find the GCF of 78700 and 78707?

We will first find the prime factorization of 78700 and 78707. After we will calculate the factors of 78700 and 78707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78707

Prime factors of 78707 are 78707. Prime factorization of 78707 in exponential form is:

78707 = 78707¹

Step-3: Factors of 78700

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

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

Step-4: Factors of 78707

List of positive integer factors of 78707 that divides 78700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78700 and 78707. The biggest common factor number is the GCF number.
So the greatest common factor 78700 and 78707 is 1.

Also check out the Least Common Multiple of 78700 and 78707