What is the Greatest Common Factor of 39894 and 39910?

Greatest common factor (GCF) of 39894 and 39910 is 2.

GCF(39894,39910) = 2

We will now calculate the prime factors of 39894 and 39910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39894 and 39910.

How to find the GCF of 39894 and 39910?

We will first find the prime factorization of 39894 and 39910. After we will calculate the factors of 39894 and 39910 and find the biggest common factor number .

Step-1: Prime Factorization of 39894

Prime factors of 39894 are 2, 3, 61, 109. Prime factorization of 39894 in exponential form is:

39894 = 2¹ × 3¹ × 61¹ × 109¹

Step-2: Prime Factorization of 39910

Prime factors of 39910 are 2, 5, 13, 307. Prime factorization of 39910 in exponential form is:

39910 = 2¹ × 5¹ × 13¹ × 307¹

Step-3: Factors of 39894

List of positive integer factors of 39894 that divides 39894 without a remainder.

1, 2, 3, 6, 61, 109, 122, 183, 218, 327, 366, 654, 6649, 13298, 19947

Step-4: Factors of 39910

List of positive integer factors of 39910 that divides 39894 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 307, 614, 1535, 3070, 3991, 7982, 19955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39894 and 39910. The biggest common factor number is the GCF number.
So the greatest common factor 39894 and 39910 is 2.

Also check out the Least Common Multiple of 39894 and 39910