What is the Greatest Common Factor of 39090 and 39106?

Greatest common factor (GCF) of 39090 and 39106 is 2.

GCF(39090,39106) = 2

We will now calculate the prime factors of 39090 and 39106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39090 and 39106.

How to find the GCF of 39090 and 39106?

We will first find the prime factorization of 39090 and 39106. After we will calculate the factors of 39090 and 39106 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 39106

Prime factors of 39106 are 2, 19553. Prime factorization of 39106 in exponential form is:

39106 = 2¹ × 19553¹

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 39106

List of positive integer factors of 39106 that divides 39090 without a remainder.

1, 2, 19553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39090 and 39106. The biggest common factor number is the GCF number.
So the greatest common factor 39090 and 39106 is 2.

Also check out the Least Common Multiple of 39090 and 39106