What is the Greatest Common Factor of 87474 and 87480?

Greatest common factor (GCF) of 87474 and 87480 is 6.

GCF(87474,87480) = 6

We will now calculate the prime factors of 87474 and 87480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87474 and 87480.

How to find the GCF of 87474 and 87480?

We will first find the prime factorization of 87474 and 87480. After we will calculate the factors of 87474 and 87480 and find the biggest common factor number .

Step-1: Prime Factorization of 87474

Prime factors of 87474 are 2, 3, 61, 239. Prime factorization of 87474 in exponential form is:

87474 = 2¹ × 3¹ × 61¹ × 239¹

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 87474

List of positive integer factors of 87474 that divides 87474 without a remainder.

1, 2, 3, 6, 61, 122, 183, 239, 366, 478, 717, 1434, 14579, 29158, 43737

Step-4: Factors of 87480

List of positive integer factors of 87480 that divides 87474 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 87474 and 87480. The biggest common factor number is the GCF number.
So the greatest common factor 87474 and 87480 is 6.

Also check out the Least Common Multiple of 87474 and 87480