What is the Greatest Common Factor of 74820 and 74833?

Greatest common factor (GCF) of 74820 and 74833 is 1.

GCF(74820,74833) = 1

We will now calculate the prime factors of 74820 and 74833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74820 and 74833.

How to find the GCF of 74820 and 74833?

We will first find the prime factorization of 74820 and 74833. After we will calculate the factors of 74820 and 74833 and find the biggest common factor number .

Step-1: Prime Factorization of 74820

Prime factors of 74820 are 2, 3, 5, 29, 43. Prime factorization of 74820 in exponential form is:

74820 = 2² × 3¹ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 74833

Prime factors of 74833 are 11, 6803. Prime factorization of 74833 in exponential form is:

74833 = 11¹ × 6803¹

Step-3: Factors of 74820

List of positive integer factors of 74820 that divides 74820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 43, 58, 60, 86, 87, 116, 129, 145, 172, 174, 215, 258, 290, 348, 430, 435, 516, 580, 645, 860, 870, 1247, 1290, 1740, 2494, 2580, 3741, 4988, 6235, 7482, 12470, 14964, 18705, 24940, 37410

Step-4: Factors of 74833

List of positive integer factors of 74833 that divides 74820 without a remainder.

1, 11, 6803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74820 and 74833. The biggest common factor number is the GCF number.
So the greatest common factor 74820 and 74833 is 1.

Also check out the Least Common Multiple of 74820 and 74833