What is the Greatest Common Factor of 44829 and 44846?

Greatest common factor (GCF) of 44829 and 44846 is 17.

GCF(44829,44846) = 17

We will now calculate the prime factors of 44829 and 44846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44829 and 44846.

How to find the GCF of 44829 and 44846?

We will first find the prime factorization of 44829 and 44846. After we will calculate the factors of 44829 and 44846 and find the biggest common factor number .

Step-1: Prime Factorization of 44829

Prime factors of 44829 are 3, 17, 293. Prime factorization of 44829 in exponential form is:

44829 = 3² × 17¹ × 293¹

Step-2: Prime Factorization of 44846

Prime factors of 44846 are 2, 17, 1319. Prime factorization of 44846 in exponential form is:

44846 = 2¹ × 17¹ × 1319¹

Step-3: Factors of 44829

List of positive integer factors of 44829 that divides 44829 without a remainder.

1, 3, 9, 17, 51, 153, 293, 879, 2637, 4981, 14943

Step-4: Factors of 44846

List of positive integer factors of 44846 that divides 44829 without a remainder.

1, 2, 17, 34, 1319, 2638, 22423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44829 and 44846. The biggest common factor number is the GCF number.
So the greatest common factor 44829 and 44846 is 17.

Also check out the Least Common Multiple of 44829 and 44846