What is the Greatest Common Factor of 78490 and 78500?

Greatest common factor (GCF) of 78490 and 78500 is 10.

GCF(78490,78500) = 10

We will now calculate the prime factors of 78490 and 78500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78490 and 78500.

How to find the GCF of 78490 and 78500?

We will first find the prime factorization of 78490 and 78500. After we will calculate the factors of 78490 and 78500 and find the biggest common factor number .

Step-1: Prime Factorization of 78490

Prime factors of 78490 are 2, 5, 47, 167. Prime factorization of 78490 in exponential form is:

78490 = 2¹ × 5¹ × 47¹ × 167¹

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 78490

List of positive integer factors of 78490 that divides 78490 without a remainder.

1, 2, 5, 10, 47, 94, 167, 235, 334, 470, 835, 1670, 7849, 15698, 39245

Step-4: Factors of 78500

List of positive integer factors of 78500 that divides 78490 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 78490 and 78500. The biggest common factor number is the GCF number.
So the greatest common factor 78490 and 78500 is 10.

Also check out the Least Common Multiple of 78490 and 78500