What is the Greatest Common Factor of 87480 and 87495?

Greatest common factor (GCF) of 87480 and 87495 is 15.

GCF(87480,87495) = 15

We will now calculate the prime factors of 87480 and 87495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87480 and 87495.

How to find the GCF of 87480 and 87495?

We will first find the prime factorization of 87480 and 87495. After we will calculate the factors of 87480 and 87495 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 87495

Prime factors of 87495 are 3, 5, 19, 307. Prime factorization of 87495 in exponential form is:

87495 = 3¹ × 5¹ × 19¹ × 307¹

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 87495

List of positive integer factors of 87495 that divides 87480 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 307, 921, 1535, 4605, 5833, 17499, 29165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87480 and 87495. The biggest common factor number is the GCF number.
So the greatest common factor 87480 and 87495 is 15.

Also check out the Least Common Multiple of 87480 and 87495