What is the Greatest Common Factor of 39090 and 39109?

Greatest common factor (GCF) of 39090 and 39109 is 1.

GCF(39090,39109) = 1

We will now calculate the prime factors of 39090 and 39109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39090 and 39109.

How to find the GCF of 39090 and 39109?

We will first find the prime factorization of 39090 and 39109. After we will calculate the factors of 39090 and 39109 and find the biggest common factor number .

Step-1: Prime Factorization of 39090

Prime factors of 39090 are 2, 3, 5, 1303. Prime factorization of 39090 in exponential form is:

39090 = 2¹ × 3¹ × 5¹ × 1303¹

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 39090

List of positive integer factors of 39090 that divides 39090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1303, 2606, 3909, 6515, 7818, 13030, 19545

Step-4: Factors of 39109

List of positive integer factors of 39109 that divides 39090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39090 and 39109. The biggest common factor number is the GCF number.
So the greatest common factor 39090 and 39109 is 1.

Also check out the Least Common Multiple of 39090 and 39109