What is the Greatest Common Factor of 87264 and 87278?

Greatest common factor (GCF) of 87264 and 87278 is 2.

GCF(87264,87278) = 2

We will now calculate the prime factors of 87264 and 87278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87264 and 87278.

How to find the GCF of 87264 and 87278?

We will first find the prime factorization of 87264 and 87278. After we will calculate the factors of 87264 and 87278 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 87278

Prime factors of 87278 are 2, 17, 151. Prime factorization of 87278 in exponential form is:

87278 = 2¹ × 17² × 151¹

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 87278

List of positive integer factors of 87278 that divides 87264 without a remainder.

1, 2, 17, 34, 151, 289, 302, 578, 2567, 5134, 43639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87264 and 87278. The biggest common factor number is the GCF number.
So the greatest common factor 87264 and 87278 is 2.

Also check out the Least Common Multiple of 87264 and 87278