What is the Greatest Common Factor of 87504 and 87516?

Greatest common factor (GCF) of 87504 and 87516 is 12.

GCF(87504,87516) = 12

We will now calculate the prime factors of 87504 and 87516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87504 and 87516.

How to find the GCF of 87504 and 87516?

We will first find the prime factorization of 87504 and 87516. After we will calculate the factors of 87504 and 87516 and find the biggest common factor number .

Step-1: Prime Factorization of 87504

Prime factors of 87504 are 2, 3, 1823. Prime factorization of 87504 in exponential form is:

87504 = 2⁴ × 3¹ × 1823¹

Step-2: Prime Factorization of 87516

Prime factors of 87516 are 2, 3, 11, 13, 17. Prime factorization of 87516 in exponential form is:

87516 = 2² × 3² × 11¹ × 13¹ × 17¹

Step-3: Factors of 87504

List of positive integer factors of 87504 that divides 87504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584, 21876, 29168, 43752

Step-4: Factors of 87516

List of positive integer factors of 87516 that divides 87504 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 17, 18, 22, 26, 33, 34, 36, 39, 44, 51, 52, 66, 68, 78, 99, 102, 117, 132, 143, 153, 156, 187, 198, 204, 221, 234, 286, 306, 374, 396, 429, 442, 468, 561, 572, 612, 663, 748, 858, 884, 1122, 1287, 1326, 1683, 1716, 1989, 2244, 2431, 2574, 2652, 3366, 3978, 4862, 5148, 6732, 7293, 7956, 9724, 14586, 21879, 29172, 43758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87504 and 87516. The biggest common factor number is the GCF number.
So the greatest common factor 87504 and 87516 is 12.

Also check out the Least Common Multiple of 87504 and 87516