What is the Greatest Common Factor of 87490 and 87500?

Greatest common factor (GCF) of 87490 and 87500 is 10.

GCF(87490,87500) = 10

We will now calculate the prime factors of 87490 and 87500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87490 and 87500.

How to find the GCF of 87490 and 87500?

We will first find the prime factorization of 87490 and 87500. After we will calculate the factors of 87490 and 87500 and find the biggest common factor number .

Step-1: Prime Factorization of 87490

Prime factors of 87490 are 2, 5, 13, 673. Prime factorization of 87490 in exponential form is:

87490 = 2¹ × 5¹ × 13¹ × 673¹

Step-2: Prime Factorization of 87500

Prime factors of 87500 are 2, 5, 7. Prime factorization of 87500 in exponential form is:

87500 = 2² × 5⁵ × 7¹

Step-3: Factors of 87490

List of positive integer factors of 87490 that divides 87490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 673, 1346, 3365, 6730, 8749, 17498, 43745

Step-4: Factors of 87500

List of positive integer factors of 87500 that divides 87490 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 625, 700, 875, 1250, 1750, 2500, 3125, 3500, 4375, 6250, 8750, 12500, 17500, 21875, 43750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87490 and 87500. The biggest common factor number is the GCF number.
So the greatest common factor 87490 and 87500 is 10.

Also check out the Least Common Multiple of 87490 and 87500