What is the Greatest Common Factor of 90711 and 90729?

Greatest common factor (GCF) of 90711 and 90729 is 9.

GCF(90711,90729) = 9

We will now calculate the prime factors of 90711 and 90729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90711 and 90729.

How to find the GCF of 90711 and 90729?

We will first find the prime factorization of 90711 and 90729. After we will calculate the factors of 90711 and 90729 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 90729

Prime factors of 90729 are 3, 17, 593. Prime factorization of 90729 in exponential form is:

90729 = 3² × 17¹ × 593¹

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 90729

List of positive integer factors of 90729 that divides 90711 without a remainder.

1, 3, 9, 17, 51, 153, 593, 1779, 5337, 10081, 30243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90711 and 90729. The biggest common factor number is the GCF number.
So the greatest common factor 90711 and 90729 is 9.

Also check out the Least Common Multiple of 90711 and 90729