What is the Greatest Common Factor of 87480 and 87500?

Greatest common factor (GCF) of 87480 and 87500 is 20.

GCF(87480,87500) = 20

We will now calculate the prime factors of 87480 and 87500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87480 and 87500.

How to find the GCF of 87480 and 87500?

We will first find the prime factorization of 87480 and 87500. After we will calculate the factors of 87480 and 87500 and find the biggest common factor number .

Step-1: Prime Factorization of 87480

Prime factors of 87480 are 2, 3, 5. Prime factorization of 87480 in exponential form is:

87480 = 2³ × 3⁷ × 5¹

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 87480

List of positive integer factors of 87480 that divides 87480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 729, 810, 972, 1080, 1215, 1458, 1620, 1944, 2187, 2430, 2916, 3240, 3645, 4374, 4860, 5832, 7290, 8748, 9720, 10935, 14580, 17496, 21870, 29160, 43740

Step-4: Factors of 87500

List of positive integer factors of 87500 that divides 87480 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 87480 and 87500. The biggest common factor number is the GCF number.
So the greatest common factor 87480 and 87500 is 20.

Also check out the Least Common Multiple of 87480 and 87500