What is the Greatest Common Factor of 90714 and 90723?

Greatest common factor (GCF) of 90714 and 90723 is 3.

GCF(90714,90723) = 3

We will now calculate the prime factors of 90714 and 90723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90714 and 90723.

How to find the GCF of 90714 and 90723?

We will first find the prime factorization of 90714 and 90723. After we will calculate the factors of 90714 and 90723 and find the biggest common factor number .

Step-1: Prime Factorization of 90714

Prime factors of 90714 are 2, 3, 13, 1163. Prime factorization of 90714 in exponential form is:

90714 = 2¹ × 3¹ × 13¹ × 1163¹

Step-2: Prime Factorization of 90723

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

90723 = 3¹ × 30241¹

Step-3: Factors of 90714

List of positive integer factors of 90714 that divides 90714 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1163, 2326, 3489, 6978, 15119, 30238, 45357

Step-4: Factors of 90723

List of positive integer factors of 90723 that divides 90714 without a remainder.

1, 3, 30241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90714 and 90723. The biggest common factor number is the GCF number.
So the greatest common factor 90714 and 90723 is 3.

Also check out the Least Common Multiple of 90714 and 90723