What is the Greatest Common Factor of 90078 and 90084?

Greatest common factor (GCF) of 90078 and 90084 is 6.

GCF(90078,90084) = 6

We will now calculate the prime factors of 90078 and 90084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90078 and 90084.

How to find the GCF of 90078 and 90084?

We will first find the prime factorization of 90078 and 90084. After we will calculate the factors of 90078 and 90084 and find the biggest common factor number .

Step-1: Prime Factorization of 90078

Prime factors of 90078 are 2, 3, 15013. Prime factorization of 90078 in exponential form is:

90078 = 2¹ × 3¹ × 15013¹

Step-2: Prime Factorization of 90084

Prime factors of 90084 are 2, 3, 7507. Prime factorization of 90084 in exponential form is:

90084 = 2² × 3¹ × 7507¹

Step-3: Factors of 90078

List of positive integer factors of 90078 that divides 90078 without a remainder.

1, 2, 3, 6, 15013, 30026, 45039

Step-4: Factors of 90084

List of positive integer factors of 90084 that divides 90078 without a remainder.

1, 2, 3, 4, 6, 12, 7507, 15014, 22521, 30028, 45042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90078 and 90084. The biggest common factor number is the GCF number.
So the greatest common factor 90078 and 90084 is 6.

Also check out the Least Common Multiple of 90078 and 90084