What is the Greatest Common Factor of 92235 and 92248?

Greatest common factor (GCF) of 92235 and 92248 is 13.

GCF(92235,92248) = 13

We will now calculate the prime factors of 92235 and 92248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92235 and 92248.

How to find the GCF of 92235 and 92248?

We will first find the prime factorization of 92235 and 92248. After we will calculate the factors of 92235 and 92248 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 92248

Prime factors of 92248 are 2, 13, 887. Prime factorization of 92248 in exponential form is:

92248 = 2³ × 13¹ × 887¹

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 92248

List of positive integer factors of 92248 that divides 92235 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 887, 1774, 3548, 7096, 11531, 23062, 46124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92235 and 92248. The biggest common factor number is the GCF number.
So the greatest common factor 92235 and 92248 is 13.

Also check out the Least Common Multiple of 92235 and 92248