What is the Greatest Common Factor of 87264 and 87282?

Greatest common factor (GCF) of 87264 and 87282 is 18.

GCF(87264,87282) = 18

We will now calculate the prime factors of 87264 and 87282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87264 and 87282.

How to find the GCF of 87264 and 87282?

We will first find the prime factorization of 87264 and 87282. After we will calculate the factors of 87264 and 87282 and find the biggest common factor number .

Step-1: Prime Factorization of 87264

Prime factors of 87264 are 2, 3, 101. Prime factorization of 87264 in exponential form is:

87264 = 2⁵ × 3³ × 101¹

Step-2: Prime Factorization of 87282

Prime factors of 87282 are 2, 3, 13, 373. Prime factorization of 87282 in exponential form is:

87282 = 2¹ × 3² × 13¹ × 373¹

Step-3: Factors of 87264

List of positive integer factors of 87264 that divides 87264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 101, 108, 144, 202, 216, 288, 303, 404, 432, 606, 808, 864, 909, 1212, 1616, 1818, 2424, 2727, 3232, 3636, 4848, 5454, 7272, 9696, 10908, 14544, 21816, 29088, 43632

Step-4: Factors of 87282

List of positive integer factors of 87282 that divides 87264 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 373, 746, 1119, 2238, 3357, 4849, 6714, 9698, 14547, 29094, 43641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87264 and 87282. The biggest common factor number is the GCF number.
So the greatest common factor 87264 and 87282 is 18.

Also check out the Least Common Multiple of 87264 and 87282