What is the Greatest Common Factor of 92235 and 92241?

Greatest common factor (GCF) of 92235 and 92241 is 3.

GCF(92235,92241) = 3

We will now calculate the prime factors of 92235 and 92241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92235 and 92241.

How to find the GCF of 92235 and 92241?

We will first find the prime factorization of 92235 and 92241. After we will calculate the factors of 92235 and 92241 and find the biggest common factor number .

Step-1: Prime Factorization of 92235

Prime factors of 92235 are 3, 5, 11, 13, 43. Prime factorization of 92235 in exponential form is:

92235 = 3¹ × 5¹ × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 92241

Prime factors of 92241 are 3, 37, 277. Prime factorization of 92241 in exponential form is:

92241 = 3² × 37¹ × 277¹

Step-3: Factors of 92235

List of positive integer factors of 92235 that divides 92235 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 43, 55, 65, 129, 143, 165, 195, 215, 429, 473, 559, 645, 715, 1419, 1677, 2145, 2365, 2795, 6149, 7095, 8385, 18447, 30745

Step-4: Factors of 92241

List of positive integer factors of 92241 that divides 92235 without a remainder.

1, 3, 9, 37, 111, 277, 333, 831, 2493, 10249, 30747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92235 and 92241. The biggest common factor number is the GCF number.
So the greatest common factor 92235 and 92241 is 3.

Also check out the Least Common Multiple of 92235 and 92241