What is the Greatest Common Factor of 87078 and 87084?

Greatest common factor (GCF) of 87078 and 87084 is 6.

GCF(87078,87084) = 6

We will now calculate the prime factors of 87078 and 87084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87078 and 87084.

How to find the GCF of 87078 and 87084?

We will first find the prime factorization of 87078 and 87084. After we will calculate the factors of 87078 and 87084 and find the biggest common factor number .

Step-1: Prime Factorization of 87078

Prime factors of 87078 are 2, 3, 23, 631. Prime factorization of 87078 in exponential form is:

87078 = 2¹ × 3¹ × 23¹ × 631¹

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 87078

List of positive integer factors of 87078 that divides 87078 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 631, 1262, 1893, 3786, 14513, 29026, 43539

Step-4: Factors of 87084

List of positive integer factors of 87084 that divides 87078 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 87078 and 87084. The biggest common factor number is the GCF number.
So the greatest common factor 87078 and 87084 is 6.

Also check out the Least Common Multiple of 87078 and 87084