What is the Greatest Common Factor of 90783 and 90789?

Greatest common factor (GCF) of 90783 and 90789 is 3.

GCF(90783,90789) = 3

We will now calculate the prime factors of 90783 and 90789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90783 and 90789.

How to find the GCF of 90783 and 90789?

We will first find the prime factorization of 90783 and 90789. After we will calculate the factors of 90783 and 90789 and find the biggest common factor number .

Step-1: Prime Factorization of 90783

Prime factors of 90783 are 3, 7, 11, 131. Prime factorization of 90783 in exponential form is:

90783 = 3² × 7¹ × 11¹ × 131¹

Step-2: Prime Factorization of 90789

Prime factors of 90789 are 3, 53, 571. Prime factorization of 90789 in exponential form is:

90789 = 3¹ × 53¹ × 571¹

Step-3: Factors of 90783

List of positive integer factors of 90783 that divides 90783 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 131, 231, 393, 693, 917, 1179, 1441, 2751, 4323, 8253, 10087, 12969, 30261

Step-4: Factors of 90789

List of positive integer factors of 90789 that divides 90783 without a remainder.

1, 3, 53, 159, 571, 1713, 30263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90783 and 90789. The biggest common factor number is the GCF number.
So the greatest common factor 90783 and 90789 is 3.

Also check out the Least Common Multiple of 90783 and 90789