What is the Greatest Common Factor of 87069 and 87084?

Greatest common factor (GCF) of 87069 and 87084 is 3.

GCF(87069,87084) = 3

We will now calculate the prime factors of 87069 and 87084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87069 and 87084.

How to find the GCF of 87069 and 87084?

We will first find the prime factorization of 87069 and 87084. After we will calculate the factors of 87069 and 87084 and find the biggest common factor number .

Step-1: Prime Factorization of 87069

Prime factors of 87069 are 3, 29023. Prime factorization of 87069 in exponential form is:

87069 = 3¹ × 29023¹

Step-2: Prime Factorization of 87084

Prime factors of 87084 are 2, 3, 41, 59. Prime factorization of 87084 in exponential form is:

87084 = 2² × 3² × 41¹ × 59¹

Step-3: Factors of 87069

List of positive integer factors of 87069 that divides 87069 without a remainder.

1, 3, 29023

Step-4: Factors of 87084

List of positive integer factors of 87084 that divides 87069 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 369, 492, 531, 708, 738, 1062, 1476, 2124, 2419, 4838, 7257, 9676, 14514, 21771, 29028, 43542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87069 and 87084. The biggest common factor number is the GCF number.
So the greatest common factor 87069 and 87084 is 3.

Also check out the Least Common Multiple of 87069 and 87084