What is the Greatest Common Factor of 90693 and 90712?

Greatest common factor (GCF) of 90693 and 90712 is 1.

GCF(90693,90712) = 1

We will now calculate the prime factors of 90693 and 90712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90693 and 90712.

How to find the GCF of 90693 and 90712?

We will first find the prime factorization of 90693 and 90712. After we will calculate the factors of 90693 and 90712 and find the biggest common factor number .

Step-1: Prime Factorization of 90693

Prime factors of 90693 are 3, 3359. Prime factorization of 90693 in exponential form is:

90693 = 3³ × 3359¹

Step-2: Prime Factorization of 90712

Prime factors of 90712 are 2, 17, 23, 29. Prime factorization of 90712 in exponential form is:

90712 = 2³ × 17¹ × 23¹ × 29¹

Step-3: Factors of 90693

List of positive integer factors of 90693 that divides 90693 without a remainder.

1, 3, 9, 27, 3359, 10077, 30231

Step-4: Factors of 90712

List of positive integer factors of 90712 that divides 90693 without a remainder.

1, 2, 4, 8, 17, 23, 29, 34, 46, 58, 68, 92, 116, 136, 184, 232, 391, 493, 667, 782, 986, 1334, 1564, 1972, 2668, 3128, 3944, 5336, 11339, 22678, 45356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90693 and 90712. The biggest common factor number is the GCF number.
So the greatest common factor 90693 and 90712 is 1.

Also check out the Least Common Multiple of 90693 and 90712