What is the Greatest Common Factor of 44094 and 44109?

Greatest common factor (GCF) of 44094 and 44109 is 3.

GCF(44094,44109) = 3

We will now calculate the prime factors of 44094 and 44109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44094 and 44109.

How to find the GCF of 44094 and 44109?

We will first find the prime factorization of 44094 and 44109. After we will calculate the factors of 44094 and 44109 and find the biggest common factor number .

Step-1: Prime Factorization of 44094

Prime factors of 44094 are 2, 3, 7349. Prime factorization of 44094 in exponential form is:

44094 = 2¹ × 3¹ × 7349¹

Step-2: 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-3: Factors of 44094

List of positive integer factors of 44094 that divides 44094 without a remainder.

1, 2, 3, 6, 7349, 14698, 22047

Step-4: Factors of 44109

List of positive integer factors of 44109 that divides 44094 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44094 and 44109. The biggest common factor number is the GCF number.
So the greatest common factor 44094 and 44109 is 3.

Also check out the Least Common Multiple of 44094 and 44109