What is the Greatest Common Factor of 44096 and 44109?

Greatest common factor (GCF) of 44096 and 44109 is 13.

GCF(44096,44109) = 13

We will now calculate the prime factors of 44096 and 44109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44096 and 44109.

How to find the GCF of 44096 and 44109?

We will first find the prime factorization of 44096 and 44109. After we will calculate the factors of 44096 and 44109 and find the biggest common factor number .

Step-1: Prime Factorization of 44096

Prime factors of 44096 are 2, 13, 53. Prime factorization of 44096 in exponential form is:

44096 = 2⁶ × 13¹ × 53¹

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 44096

List of positive integer factors of 44096 that divides 44096 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 53, 64, 104, 106, 208, 212, 416, 424, 689, 832, 848, 1378, 1696, 2756, 3392, 5512, 11024, 22048

Step-4: Factors of 44109

List of positive integer factors of 44109 that divides 44096 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 44096 and 44109. The biggest common factor number is the GCF number.
So the greatest common factor 44096 and 44109 is 13.

Also check out the Least Common Multiple of 44096 and 44109