What is the Greatest Common Factor of 90690 and 90696?

Greatest common factor (GCF) of 90690 and 90696 is 6.

GCF(90690,90696) = 6

We will now calculate the prime factors of 90690 and 90696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90690 and 90696.

How to find the GCF of 90690 and 90696?

We will first find the prime factorization of 90690 and 90696. After we will calculate the factors of 90690 and 90696 and find the biggest common factor number .

Step-1: Prime Factorization of 90690

Prime factors of 90690 are 2, 3, 5, 3023. Prime factorization of 90690 in exponential form is:

90690 = 2¹ × 3¹ × 5¹ × 3023¹

Step-2: Prime Factorization of 90696

Prime factors of 90696 are 2, 3, 3779. Prime factorization of 90696 in exponential form is:

90696 = 2³ × 3¹ × 3779¹

Step-3: Factors of 90690

List of positive integer factors of 90690 that divides 90690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3023, 6046, 9069, 15115, 18138, 30230, 45345

Step-4: Factors of 90696

List of positive integer factors of 90696 that divides 90690 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3779, 7558, 11337, 15116, 22674, 30232, 45348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90690 and 90696. The biggest common factor number is the GCF number.
So the greatest common factor 90690 and 90696 is 6.

Also check out the Least Common Multiple of 90690 and 90696