What is the Greatest Common Factor of 87480 and 87488?

Greatest common factor (GCF) of 87480 and 87488 is 8.

GCF(87480,87488) = 8

We will now calculate the prime factors of 87480 and 87488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87480 and 87488.

How to find the GCF of 87480 and 87488?

We will first find the prime factorization of 87480 and 87488. After we will calculate the factors of 87480 and 87488 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 87488

Prime factors of 87488 are 2, 1367. Prime factorization of 87488 in exponential form is:

87488 = 2⁶ × 1367¹

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 87488

List of positive integer factors of 87488 that divides 87480 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1367, 2734, 5468, 10936, 21872, 43744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87480 and 87488. The biggest common factor number is the GCF number.
So the greatest common factor 87480 and 87488 is 8.

Also check out the Least Common Multiple of 87480 and 87488