What is the Greatest Common Factor of 90696 and 90708?

Greatest common factor (GCF) of 90696 and 90708 is 12.

GCF(90696,90708) = 12

We will now calculate the prime factors of 90696 and 90708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90696 and 90708.

How to find the GCF of 90696 and 90708?

We will first find the prime factorization of 90696 and 90708. After we will calculate the factors of 90696 and 90708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90708

Prime factors of 90708 are 2, 3, 7559. Prime factorization of 90708 in exponential form is:

90708 = 2² × 3¹ × 7559¹

Step-3: Factors of 90696

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

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

Step-4: Factors of 90708

List of positive integer factors of 90708 that divides 90696 without a remainder.

1, 2, 3, 4, 6, 12, 7559, 15118, 22677, 30236, 45354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90696 and 90708. The biggest common factor number is the GCF number.
So the greatest common factor 90696 and 90708 is 12.

Also check out the Least Common Multiple of 90696 and 90708