What is the Greatest Common Factor of 92235 and 92253?

Greatest common factor (GCF) of 92235 and 92253 is 3.

GCF(92235,92253) = 3

We will now calculate the prime factors of 92235 and 92253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92235 and 92253.

How to find the GCF of 92235 and 92253?

We will first find the prime factorization of 92235 and 92253. After we will calculate the factors of 92235 and 92253 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 92253

Prime factors of 92253 are 3, 7, 23, 191. Prime factorization of 92253 in exponential form is:

92253 = 3¹ × 7¹ × 23¹ × 191¹

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 92253

List of positive integer factors of 92253 that divides 92235 without a remainder.

1, 3, 7, 21, 23, 69, 161, 191, 483, 573, 1337, 4011, 4393, 13179, 30751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92235 and 92253. The biggest common factor number is the GCF number.
So the greatest common factor 92235 and 92253 is 3.

Also check out the Least Common Multiple of 92235 and 92253