What is the Greatest Common Factor of 87318 and 87333?

Greatest common factor (GCF) of 87318 and 87333 is 3.

GCF(87318,87333) = 3

We will now calculate the prime factors of 87318 and 87333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87318 and 87333.

How to find the GCF of 87318 and 87333?

We will first find the prime factorization of 87318 and 87333. After we will calculate the factors of 87318 and 87333 and find the biggest common factor number .

Step-1: Prime Factorization of 87318

Prime factors of 87318 are 2, 3, 7, 11. Prime factorization of 87318 in exponential form is:

87318 = 2¹ × 3⁴ × 7² × 11¹

Step-2: Prime Factorization of 87333

Prime factors of 87333 are 3, 43, 677. Prime factorization of 87333 in exponential form is:

87333 = 3¹ × 43¹ × 677¹

Step-3: Factors of 87318

List of positive integer factors of 87318 that divides 87318 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54, 63, 66, 77, 81, 98, 99, 126, 147, 154, 162, 189, 198, 231, 294, 297, 378, 441, 462, 539, 567, 594, 693, 882, 891, 1078, 1134, 1323, 1386, 1617, 1782, 2079, 2646, 3234, 3969, 4158, 4851, 6237, 7938, 9702, 12474, 14553, 29106, 43659

Step-4: Factors of 87333

List of positive integer factors of 87333 that divides 87318 without a remainder.

1, 3, 43, 129, 677, 2031, 29111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87318 and 87333. The biggest common factor number is the GCF number.
So the greatest common factor 87318 and 87333 is 3.

Also check out the Least Common Multiple of 87318 and 87333