What is the Greatest Common Factor of 90711 and 90726?

Greatest common factor (GCF) of 90711 and 90726 is 3.

GCF(90711,90726) = 3

We will now calculate the prime factors of 90711 and 90726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90711 and 90726.

How to find the GCF of 90711 and 90726?

We will first find the prime factorization of 90711 and 90726. After we will calculate the factors of 90711 and 90726 and find the biggest common factor number .

Step-1: Prime Factorization of 90711

Prime factors of 90711 are 3, 10079. Prime factorization of 90711 in exponential form is:

90711 = 3² × 10079¹

Step-2: Prime Factorization of 90726

Prime factors of 90726 are 2, 3, 15121. Prime factorization of 90726 in exponential form is:

90726 = 2¹ × 3¹ × 15121¹

Step-3: Factors of 90711

List of positive integer factors of 90711 that divides 90711 without a remainder.

1, 3, 9, 10079, 30237

Step-4: Factors of 90726

List of positive integer factors of 90726 that divides 90711 without a remainder.

1, 2, 3, 6, 15121, 30242, 45363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90711 and 90726. The biggest common factor number is the GCF number.
So the greatest common factor 90711 and 90726 is 3.

Also check out the Least Common Multiple of 90711 and 90726