What is the Greatest Common Factor of 39105 and 39109?

Greatest common factor (GCF) of 39105 and 39109 is 1.

GCF(39105,39109) = 1

We will now calculate the prime factors of 39105 and 39109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39105 and 39109.

How to find the GCF of 39105 and 39109?

We will first find the prime factorization of 39105 and 39109. After we will calculate the factors of 39105 and 39109 and find the biggest common factor number .

Step-1: Prime Factorization of 39105

Prime factors of 39105 are 3, 5, 11, 79. Prime factorization of 39105 in exponential form is:

39105 = 3² × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 39109

Prime factors of 39109 are 7, 37, 151. Prime factorization of 39109 in exponential form is:

39109 = 7¹ × 37¹ × 151¹

Step-3: Factors of 39105

List of positive integer factors of 39105 that divides 39105 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 79, 99, 165, 237, 395, 495, 711, 869, 1185, 2607, 3555, 4345, 7821, 13035

Step-4: Factors of 39109

List of positive integer factors of 39109 that divides 39105 without a remainder.

1, 7, 37, 151, 259, 1057, 5587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39105 and 39109. The biggest common factor number is the GCF number.
So the greatest common factor 39105 and 39109 is 1.

Also check out the Least Common Multiple of 39105 and 39109