What is the Greatest Common Factor of 90723 and 90738?

Greatest common factor (GCF) of 90723 and 90738 is 3.

GCF(90723,90738) = 3

We will now calculate the prime factors of 90723 and 90738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90723 and 90738.

How to find the GCF of 90723 and 90738?

We will first find the prime factorization of 90723 and 90738. After we will calculate the factors of 90723 and 90738 and find the biggest common factor number .

Step-1: Prime Factorization of 90723

Prime factors of 90723 are 3, 30241. Prime factorization of 90723 in exponential form is:

90723 = 3¹ × 30241¹

Step-2: Prime Factorization of 90738

Prime factors of 90738 are 2, 3, 71. Prime factorization of 90738 in exponential form is:

90738 = 2¹ × 3² × 71²

Step-3: Factors of 90723

List of positive integer factors of 90723 that divides 90723 without a remainder.

1, 3, 30241

Step-4: Factors of 90738

List of positive integer factors of 90738 that divides 90723 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246, 45369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90723 and 90738. The biggest common factor number is the GCF number.
So the greatest common factor 90723 and 90738 is 3.

Also check out the Least Common Multiple of 90723 and 90738