What is the Greatest Common Factor of 90084 and 90098?

Greatest common factor (GCF) of 90084 and 90098 is 2.

GCF(90084,90098) = 2

We will now calculate the prime factors of 90084 and 90098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90084 and 90098.

How to find the GCF of 90084 and 90098?

We will first find the prime factorization of 90084 and 90098. After we will calculate the factors of 90084 and 90098 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 90098

Prime factors of 90098 are 2, 19, 2371. Prime factorization of 90098 in exponential form is:

90098 = 2¹ × 19¹ × 2371¹

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 90098

List of positive integer factors of 90098 that divides 90084 without a remainder.

1, 2, 19, 38, 2371, 4742, 45049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90084 and 90098. The biggest common factor number is the GCF number.
So the greatest common factor 90084 and 90098 is 2.

Also check out the Least Common Multiple of 90084 and 90098