What is the Greatest Common Factor of 87516 and 87536?

Greatest common factor (GCF) of 87516 and 87536 is 4.

GCF(87516,87536) = 4

We will now calculate the prime factors of 87516 and 87536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87516 and 87536.

How to find the GCF of 87516 and 87536?

We will first find the prime factorization of 87516 and 87536. After we will calculate the factors of 87516 and 87536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87536

Prime factors of 87536 are 2, 5471. Prime factorization of 87536 in exponential form is:

87536 = 2⁴ × 5471¹

Step-3: Factors of 87516

List of positive integer factors of 87516 that divides 87516 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

Step-4: Factors of 87536

List of positive integer factors of 87536 that divides 87516 without a remainder.

1, 2, 4, 8, 16, 5471, 10942, 21884, 43768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87516 and 87536. The biggest common factor number is the GCF number.
So the greatest common factor 87516 and 87536 is 4.

Also check out the Least Common Multiple of 87516 and 87536