What is the Greatest Common Factor of 41820 and 41835?

Greatest common factor (GCF) of 41820 and 41835 is 15.

GCF(41820,41835) = 15

We will now calculate the prime factors of 41820 and 41835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41820 and 41835.

How to find the GCF of 41820 and 41835?

We will first find the prime factorization of 41820 and 41835. After we will calculate the factors of 41820 and 41835 and find the biggest common factor number .

Step-1: Prime Factorization of 41820

Prime factors of 41820 are 2, 3, 5, 17, 41. Prime factorization of 41820 in exponential form is:

41820 = 2² × 3¹ × 5¹ × 17¹ × 41¹

Step-2: Prime Factorization of 41835

Prime factors of 41835 are 3, 5, 2789. Prime factorization of 41835 in exponential form is:

41835 = 3¹ × 5¹ × 2789¹

Step-3: Factors of 41820

List of positive integer factors of 41820 that divides 41820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 41, 51, 60, 68, 82, 85, 102, 123, 164, 170, 204, 205, 246, 255, 340, 410, 492, 510, 615, 697, 820, 1020, 1230, 1394, 2091, 2460, 2788, 3485, 4182, 6970, 8364, 10455, 13940, 20910

Step-4: Factors of 41835

List of positive integer factors of 41835 that divides 41820 without a remainder.

1, 3, 5, 15, 2789, 8367, 13945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41820 and 41835. The biggest common factor number is the GCF number.
So the greatest common factor 41820 and 41835 is 15.

Also check out the Least Common Multiple of 41820 and 41835