What is the Greatest Common Factor of 87267 and 87282?

Greatest common factor (GCF) of 87267 and 87282 is 3.

GCF(87267,87282) = 3

We will now calculate the prime factors of 87267 and 87282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87267 and 87282.

How to find the GCF of 87267 and 87282?

We will first find the prime factorization of 87267 and 87282. After we will calculate the factors of 87267 and 87282 and find the biggest common factor number .

Step-1: Prime Factorization of 87267

Prime factors of 87267 are 3, 19, 1531. Prime factorization of 87267 in exponential form is:

87267 = 3¹ × 19¹ × 1531¹

Step-2: Prime Factorization of 87282

Prime factors of 87282 are 2, 3, 13, 373. Prime factorization of 87282 in exponential form is:

87282 = 2¹ × 3² × 13¹ × 373¹

Step-3: Factors of 87267

List of positive integer factors of 87267 that divides 87267 without a remainder.

1, 3, 19, 57, 1531, 4593, 29089

Step-4: Factors of 87282

List of positive integer factors of 87282 that divides 87267 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 373, 746, 1119, 2238, 3357, 4849, 6714, 9698, 14547, 29094, 43641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87267 and 87282. The biggest common factor number is the GCF number.
So the greatest common factor 87267 and 87282 is 3.

Also check out the Least Common Multiple of 87267 and 87282