What is the Greatest Common Factor of 78075 and 78084?

Greatest common factor (GCF) of 78075 and 78084 is 9.

GCF(78075,78084) = 9

We will now calculate the prime factors of 78075 and 78084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78075 and 78084.

How to find the GCF of 78075 and 78084?

We will first find the prime factorization of 78075 and 78084. After we will calculate the factors of 78075 and 78084 and find the biggest common factor number .

Step-1: Prime Factorization of 78075

Prime factors of 78075 are 3, 5, 347. Prime factorization of 78075 in exponential form is:

78075 = 3² × 5² × 347¹

Step-2: Prime Factorization of 78084

Prime factors of 78084 are 2, 3, 241. Prime factorization of 78084 in exponential form is:

78084 = 2² × 3⁴ × 241¹

Step-3: Factors of 78075

List of positive integer factors of 78075 that divides 78075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 347, 1041, 1735, 3123, 5205, 8675, 15615, 26025

Step-4: Factors of 78084

List of positive integer factors of 78084 that divides 78075 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 241, 324, 482, 723, 964, 1446, 2169, 2892, 4338, 6507, 8676, 13014, 19521, 26028, 39042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78075 and 78084. The biggest common factor number is the GCF number.
So the greatest common factor 78075 and 78084 is 9.

Also check out the Least Common Multiple of 78075 and 78084