What is the Greatest Common Factor of 44133 and 44149?

Greatest common factor (GCF) of 44133 and 44149 is 1.

GCF(44133,44149) = 1

We will now calculate the prime factors of 44133 and 44149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44133 and 44149.

How to find the GCF of 44133 and 44149?

We will first find the prime factorization of 44133 and 44149. After we will calculate the factors of 44133 and 44149 and find the biggest common factor number .

Step-1: Prime Factorization of 44133

Prime factors of 44133 are 3, 47, 313. Prime factorization of 44133 in exponential form is:

44133 = 3¹ × 47¹ × 313¹

Step-2: Prime Factorization of 44149

Prime factors of 44149 are 7, 17, 53. Prime factorization of 44149 in exponential form is:

44149 = 7² × 17¹ × 53¹

Step-3: Factors of 44133

List of positive integer factors of 44133 that divides 44133 without a remainder.

1, 3, 47, 141, 313, 939, 14711

Step-4: Factors of 44149

List of positive integer factors of 44149 that divides 44133 without a remainder.

1, 7, 17, 49, 53, 119, 371, 833, 901, 2597, 6307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44133 and 44149. The biggest common factor number is the GCF number.
So the greatest common factor 44133 and 44149 is 1.

Also check out the Least Common Multiple of 44133 and 44149