What is the Greatest Common Factor of 87252 and 87264?

Greatest common factor (GCF) of 87252 and 87264 is 12.

GCF(87252,87264) = 12

We will now calculate the prime factors of 87252 and 87264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87252 and 87264.

How to find the GCF of 87252 and 87264?

We will first find the prime factorization of 87252 and 87264. After we will calculate the factors of 87252 and 87264 and find the biggest common factor number .

Step-1: Prime Factorization of 87252

Prime factors of 87252 are 2, 3, 11, 661. Prime factorization of 87252 in exponential form is:

87252 = 2² × 3¹ × 11¹ × 661¹

Step-2: 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-3: Factors of 87252

List of positive integer factors of 87252 that divides 87252 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 661, 1322, 1983, 2644, 3966, 7271, 7932, 14542, 21813, 29084, 43626

Step-4: Factors of 87264

List of positive integer factors of 87264 that divides 87252 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87252 and 87264. The biggest common factor number is the GCF number.
So the greatest common factor 87252 and 87264 is 12.

Also check out the Least Common Multiple of 87252 and 87264