What is the Greatest Common Factor of 78700 and 78715?

Greatest common factor (GCF) of 78700 and 78715 is 5.

GCF(78700,78715) = 5

We will now calculate the prime factors of 78700 and 78715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78700 and 78715.

How to find the GCF of 78700 and 78715?

We will first find the prime factorization of 78700 and 78715. After we will calculate the factors of 78700 and 78715 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 78715

Prime factors of 78715 are 5, 7, 13, 173. Prime factorization of 78715 in exponential form is:

78715 = 5¹ × 7¹ × 13¹ × 173¹

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 78715

List of positive integer factors of 78715 that divides 78700 without a remainder.

1, 5, 7, 13, 35, 65, 91, 173, 455, 865, 1211, 2249, 6055, 11245, 15743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78700 and 78715. The biggest common factor number is the GCF number.
So the greatest common factor 78700 and 78715 is 5.

Also check out the Least Common Multiple of 78700 and 78715