What is the Greatest Common Factor of 90033 and 90042?

Greatest common factor (GCF) of 90033 and 90042 is 3.

GCF(90033,90042) = 3

We will now calculate the prime factors of 90033 and 90042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90033 and 90042.

How to find the GCF of 90033 and 90042?

We will first find the prime factorization of 90033 and 90042. After we will calculate the factors of 90033 and 90042 and find the biggest common factor number .

Step-1: Prime Factorization of 90033

Prime factors of 90033 are 3, 30011. Prime factorization of 90033 in exponential form is:

90033 = 3¹ × 30011¹

Step-2: Prime Factorization of 90042

Prime factors of 90042 are 2, 3, 43, 349. Prime factorization of 90042 in exponential form is:

90042 = 2¹ × 3¹ × 43¹ × 349¹

Step-3: Factors of 90033

List of positive integer factors of 90033 that divides 90033 without a remainder.

1, 3, 30011

Step-4: Factors of 90042

List of positive integer factors of 90042 that divides 90033 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 349, 698, 1047, 2094, 15007, 30014, 45021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90033 and 90042. The biggest common factor number is the GCF number.
So the greatest common factor 90033 and 90042 is 3.

Also check out the Least Common Multiple of 90033 and 90042