What is the Greatest Common Factor of 87465 and 87480?

Greatest common factor (GCF) of 87465 and 87480 is 15.

GCF(87465,87480) = 15

We will now calculate the prime factors of 87465 and 87480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87465 and 87480.

How to find the GCF of 87465 and 87480?

We will first find the prime factorization of 87465 and 87480. After we will calculate the factors of 87465 and 87480 and find the biggest common factor number .

Step-1: Prime Factorization of 87465

Prime factors of 87465 are 3, 5, 7, 17. Prime factorization of 87465 in exponential form is:

87465 = 3¹ × 5¹ × 7³ × 17¹

Step-2: 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-3: Factors of 87465

List of positive integer factors of 87465 that divides 87465 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 49, 51, 85, 105, 119, 147, 245, 255, 343, 357, 595, 735, 833, 1029, 1715, 1785, 2499, 4165, 5145, 5831, 12495, 17493, 29155

Step-4: Factors of 87480

List of positive integer factors of 87480 that divides 87465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87465 and 87480. The biggest common factor number is the GCF number.
So the greatest common factor 87465 and 87480 is 15.

Also check out the Least Common Multiple of 87465 and 87480