What is the Greatest Common Factor of 92220 and 92235?

Greatest common factor (GCF) of 92220 and 92235 is 15.

GCF(92220,92235) = 15

We will now calculate the prime factors of 92220 and 92235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92220 and 92235.

How to find the GCF of 92220 and 92235?

We will first find the prime factorization of 92220 and 92235. After we will calculate the factors of 92220 and 92235 and find the biggest common factor number .

Step-1: Prime Factorization of 92220

Prime factors of 92220 are 2, 3, 5, 29, 53. Prime factorization of 92220 in exponential form is:

92220 = 2² × 3¹ × 5¹ × 29¹ × 53¹

Step-2: 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-3: Factors of 92220

List of positive integer factors of 92220 that divides 92220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 53, 58, 60, 87, 106, 116, 145, 159, 174, 212, 265, 290, 318, 348, 435, 530, 580, 636, 795, 870, 1060, 1537, 1590, 1740, 3074, 3180, 4611, 6148, 7685, 9222, 15370, 18444, 23055, 30740, 46110

Step-4: Factors of 92235

List of positive integer factors of 92235 that divides 92220 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92220 and 92235. The biggest common factor number is the GCF number.
So the greatest common factor 92220 and 92235 is 15.

Also check out the Least Common Multiple of 92220 and 92235