What is the Greatest Common Factor of 87516 and 87522?

Greatest common factor (GCF) of 87516 and 87522 is 6.

GCF(87516,87522) = 6

We will now calculate the prime factors of 87516 and 87522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87516 and 87522.

How to find the GCF of 87516 and 87522?

We will first find the prime factorization of 87516 and 87522. After we will calculate the factors of 87516 and 87522 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 87522

Prime factors of 87522 are 2, 3, 29, 503. Prime factorization of 87522 in exponential form is:

87522 = 2¹ × 3¹ × 29¹ × 503¹

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 87522

List of positive integer factors of 87522 that divides 87516 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 503, 1006, 1509, 3018, 14587, 29174, 43761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87516 and 87522. The biggest common factor number is the GCF number.
So the greatest common factor 87516 and 87522 is 6.

Also check out the Least Common Multiple of 87516 and 87522