What is the Greatest Common Factor of 87516 and 87530?

Greatest common factor (GCF) of 87516 and 87530 is 2.

GCF(87516,87530) = 2

We will now calculate the prime factors of 87516 and 87530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87516 and 87530.

How to find the GCF of 87516 and 87530?

We will first find the prime factorization of 87516 and 87530. After we will calculate the factors of 87516 and 87530 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 87530

Prime factors of 87530 are 2, 5, 8753. Prime factorization of 87530 in exponential form is:

87530 = 2¹ × 5¹ × 8753¹

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 87530

List of positive integer factors of 87530 that divides 87516 without a remainder.

1, 2, 5, 10, 8753, 17506, 43765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87516 and 87530. The biggest common factor number is the GCF number.
So the greatest common factor 87516 and 87530 is 2.

Also check out the Least Common Multiple of 87516 and 87530