What is the Greatest Common Factor of 87264 and 87279?

Greatest common factor (GCF) of 87264 and 87279 is 3.

GCF(87264,87279) = 3

We will now calculate the prime factors of 87264 and 87279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87264 and 87279.

How to find the GCF of 87264 and 87279?

We will first find the prime factorization of 87264 and 87279. After we will calculate the factors of 87264 and 87279 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 87279

Prime factors of 87279 are 3, 47, 619. Prime factorization of 87279 in exponential form is:

87279 = 3¹ × 47¹ × 619¹

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 87279

List of positive integer factors of 87279 that divides 87264 without a remainder.

1, 3, 47, 141, 619, 1857, 29093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87264 and 87279. The biggest common factor number is the GCF number.
So the greatest common factor 87264 and 87279 is 3.

Also check out the Least Common Multiple of 87264 and 87279