What is the Greatest Common Factor of 78495 and 78500?

Greatest common factor (GCF) of 78495 and 78500 is 5.

GCF(78495,78500) = 5

We will now calculate the prime factors of 78495 and 78500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78495 and 78500.

How to find the GCF of 78495 and 78500?

We will first find the prime factorization of 78495 and 78500. After we will calculate the factors of 78495 and 78500 and find the biggest common factor number .

Step-1: Prime Factorization of 78495

Prime factors of 78495 are 3, 5, 5233. Prime factorization of 78495 in exponential form is:

78495 = 3¹ × 5¹ × 5233¹

Step-2: Prime Factorization of 78500

Prime factors of 78500 are 2, 5, 157. Prime factorization of 78500 in exponential form is:

78500 = 2² × 5³ × 157¹

Step-3: Factors of 78495

List of positive integer factors of 78495 that divides 78495 without a remainder.

1, 3, 5, 15, 5233, 15699, 26165

Step-4: Factors of 78500

List of positive integer factors of 78500 that divides 78495 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 157, 250, 314, 500, 628, 785, 1570, 3140, 3925, 7850, 15700, 19625, 39250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78495 and 78500. The biggest common factor number is the GCF number.
So the greatest common factor 78495 and 78500 is 5.

Also check out the Least Common Multiple of 78495 and 78500