What is the Greatest Common Factor of 74820 and 74829?

Greatest common factor (GCF) of 74820 and 74829 is 3.

GCF(74820,74829) = 3

We will now calculate the prime factors of 74820 and 74829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74820 and 74829.

How to find the GCF of 74820 and 74829?

We will first find the prime factorization of 74820 and 74829. After we will calculate the factors of 74820 and 74829 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 74829

Prime factors of 74829 are 3, 24943. Prime factorization of 74829 in exponential form is:

74829 = 3¹ × 24943¹

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 74829

List of positive integer factors of 74829 that divides 74820 without a remainder.

1, 3, 24943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74820 and 74829. The biggest common factor number is the GCF number.
So the greatest common factor 74820 and 74829 is 3.

Also check out the Least Common Multiple of 74820 and 74829