What is the Greatest Common Factor of 90933 and 90942?

Greatest common factor (GCF) of 90933 and 90942 is 3.

GCF(90933,90942) = 3

We will now calculate the prime factors of 90933 and 90942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90933 and 90942.

How to find the GCF of 90933 and 90942?

We will first find the prime factorization of 90933 and 90942. After we will calculate the factors of 90933 and 90942 and find the biggest common factor number .

Step-1: Prime Factorization of 90933

Prime factors of 90933 are 3, 17, 1783. Prime factorization of 90933 in exponential form is:

90933 = 3¹ × 17¹ × 1783¹

Step-2: Prime Factorization of 90942

Prime factors of 90942 are 2, 3, 23, 659. Prime factorization of 90942 in exponential form is:

90942 = 2¹ × 3¹ × 23¹ × 659¹

Step-3: Factors of 90933

List of positive integer factors of 90933 that divides 90933 without a remainder.

1, 3, 17, 51, 1783, 5349, 30311

Step-4: Factors of 90942

List of positive integer factors of 90942 that divides 90933 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 659, 1318, 1977, 3954, 15157, 30314, 45471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90933 and 90942. The biggest common factor number is the GCF number.
So the greatest common factor 90933 and 90942 is 3.

Also check out the Least Common Multiple of 90933 and 90942