What is the Greatest Common Factor of 74820 and 74834?

Greatest common factor (GCF) of 74820 and 74834 is 2.

GCF(74820,74834) = 2

We will now calculate the prime factors of 74820 and 74834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74820 and 74834.

How to find the GCF of 74820 and 74834?

We will first find the prime factorization of 74820 and 74834. After we will calculate the factors of 74820 and 74834 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 74834

Prime factors of 74834 are 2, 17, 31, 71. Prime factorization of 74834 in exponential form is:

74834 = 2¹ × 17¹ × 31¹ × 71¹

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 74834

List of positive integer factors of 74834 that divides 74820 without a remainder.

1, 2, 17, 31, 34, 62, 71, 142, 527, 1054, 1207, 2201, 2414, 4402, 37417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74820 and 74834. The biggest common factor number is the GCF number.
So the greatest common factor 74820 and 74834 is 2.

Also check out the Least Common Multiple of 74820 and 74834