What is the Greatest Common Factor of 87500 and 87510?

Greatest common factor (GCF) of 87500 and 87510 is 10.

GCF(87500,87510) = 10

We will now calculate the prime factors of 87500 and 87510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87500 and 87510.

How to find the GCF of 87500 and 87510?

We will first find the prime factorization of 87500 and 87510. After we will calculate the factors of 87500 and 87510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87510

Prime factors of 87510 are 2, 3, 5, 2917. Prime factorization of 87510 in exponential form is:

87510 = 2¹ × 3¹ × 5¹ × 2917¹

Step-3: Factors of 87500

List of positive integer factors of 87500 that divides 87500 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

Step-4: Factors of 87510

List of positive integer factors of 87510 that divides 87500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2917, 5834, 8751, 14585, 17502, 29170, 43755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87500 and 87510. The biggest common factor number is the GCF number.
So the greatest common factor 87500 and 87510 is 10.

Also check out the Least Common Multiple of 87500 and 87510