What is the Greatest Common Factor of 90084 and 90096?

Greatest common factor (GCF) of 90084 and 90096 is 12.

GCF(90084,90096) = 12

We will now calculate the prime factors of 90084 and 90096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90084 and 90096.

How to find the GCF of 90084 and 90096?

We will first find the prime factorization of 90084 and 90096. After we will calculate the factors of 90084 and 90096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90096

Prime factors of 90096 are 2, 3, 1877. Prime factorization of 90096 in exponential form is:

90096 = 2⁴ × 3¹ × 1877¹

Step-3: Factors of 90084

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

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

Step-4: Factors of 90096

List of positive integer factors of 90096 that divides 90084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1877, 3754, 5631, 7508, 11262, 15016, 22524, 30032, 45048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90084 and 90096. The biggest common factor number is the GCF number.
So the greatest common factor 90084 and 90096 is 12.

Also check out the Least Common Multiple of 90084 and 90096