What is the Greatest Common Factor of 92421 and 92433?

Greatest common factor (GCF) of 92421 and 92433 is 3.

GCF(92421,92433) = 3

We will now calculate the prime factors of 92421 and 92433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92421 and 92433.

How to find the GCF of 92421 and 92433?

We will first find the prime factorization of 92421 and 92433. After we will calculate the factors of 92421 and 92433 and find the biggest common factor number .

Step-1: Prime Factorization of 92421

Prime factors of 92421 are 3, 7, 163. Prime factorization of 92421 in exponential form is:

92421 = 3⁴ × 7¹ × 163¹

Step-2: Prime Factorization of 92433

Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:

92433 = 3¹ × 11¹ × 2801¹

Step-3: Factors of 92421

List of positive integer factors of 92421 that divides 92421 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 163, 189, 489, 567, 1141, 1467, 3423, 4401, 10269, 13203, 30807

Step-4: Factors of 92433

List of positive integer factors of 92433 that divides 92421 without a remainder.

1, 3, 11, 33, 2801, 8403, 30811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92421 and 92433. The biggest common factor number is the GCF number.
So the greatest common factor 92421 and 92433 is 3.

Also check out the Least Common Multiple of 92421 and 92433