What is the Greatest Common Factor of 44199 and 44213?

Greatest common factor (GCF) of 44199 and 44213 is 1.

GCF(44199,44213) = 1

We will now calculate the prime factors of 44199 and 44213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44199 and 44213.

How to find the GCF of 44199 and 44213?

We will first find the prime factorization of 44199 and 44213. After we will calculate the factors of 44199 and 44213 and find the biggest common factor number .

Step-1: Prime Factorization of 44199

Prime factors of 44199 are 3, 1637. Prime factorization of 44199 in exponential form is:

44199 = 3³ × 1637¹

Step-2: Prime Factorization of 44213

Prime factors of 44213 are 13, 19, 179. Prime factorization of 44213 in exponential form is:

44213 = 13¹ × 19¹ × 179¹

Step-3: Factors of 44199

List of positive integer factors of 44199 that divides 44199 without a remainder.

1, 3, 9, 27, 1637, 4911, 14733

Step-4: Factors of 44213

List of positive integer factors of 44213 that divides 44199 without a remainder.

1, 13, 19, 179, 247, 2327, 3401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44199 and 44213. The biggest common factor number is the GCF number.
So the greatest common factor 44199 and 44213 is 1.

Also check out the Least Common Multiple of 44199 and 44213