What is the Greatest Common Factor of 87264 and 87280?

Greatest common factor (GCF) of 87264 and 87280 is 16.

GCF(87264,87280) = 16

We will now calculate the prime factors of 87264 and 87280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87264 and 87280.

How to find the GCF of 87264 and 87280?

We will first find the prime factorization of 87264 and 87280. After we will calculate the factors of 87264 and 87280 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 87280

Prime factors of 87280 are 2, 5, 1091. Prime factorization of 87280 in exponential form is:

87280 = 2⁴ × 5¹ × 1091¹

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 87280

List of positive integer factors of 87280 that divides 87264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1091, 2182, 4364, 5455, 8728, 10910, 17456, 21820, 43640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87264 and 87280. The biggest common factor number is the GCF number.
So the greatest common factor 87264 and 87280 is 16.

Also check out the Least Common Multiple of 87264 and 87280