What is the Greatest Common Factor of 87264 and 87273?

Greatest common factor (GCF) of 87264 and 87273 is 9.

GCF(87264,87273) = 9

We will now calculate the prime factors of 87264 and 87273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87264 and 87273.

How to find the GCF of 87264 and 87273?

We will first find the prime factorization of 87264 and 87273. After we will calculate the factors of 87264 and 87273 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 87273

Prime factors of 87273 are 3, 9697. Prime factorization of 87273 in exponential form is:

87273 = 3² × 9697¹

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 87273

List of positive integer factors of 87273 that divides 87264 without a remainder.

1, 3, 9, 9697, 29091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87264 and 87273. The biggest common factor number is the GCF number.
So the greatest common factor 87264 and 87273 is 9.

Also check out the Least Common Multiple of 87264 and 87273