What is the Greatest Common Factor of 44109 and 44117?

Greatest common factor (GCF) of 44109 and 44117 is 1.

GCF(44109,44117) = 1

We will now calculate the prime factors of 44109 and 44117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44109 and 44117.

How to find the GCF of 44109 and 44117?

We will first find the prime factorization of 44109 and 44117. After we will calculate the factors of 44109 and 44117 and find the biggest common factor number .

Step-1: Prime Factorization of 44109

Prime factors of 44109 are 3, 13, 29. Prime factorization of 44109 in exponential form is:

44109 = 3² × 13² × 29¹

Step-2: Prime Factorization of 44117

Prime factors of 44117 are 157, 281. Prime factorization of 44117 in exponential form is:

44117 = 157¹ × 281¹

Step-3: Factors of 44109

List of positive integer factors of 44109 that divides 44109 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 169, 261, 377, 507, 1131, 1521, 3393, 4901, 14703

Step-4: Factors of 44117

List of positive integer factors of 44117 that divides 44109 without a remainder.

1, 157, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44109 and 44117. The biggest common factor number is the GCF number.
So the greatest common factor 44109 and 44117 is 1.

Also check out the Least Common Multiple of 44109 and 44117