What is the Greatest Common Factor of 3900 and 3910?

Greatest common factor (GCF) of 3900 and 3910 is 10.

GCF(3900,3910) = 10

We will now calculate the prime factors of 3900 and 3910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3900 and 3910.

How to find the GCF of 3900 and 3910?

We will first find the prime factorization of 3900 and 3910. After we will calculate the factors of 3900 and 3910 and find the biggest common factor number .

Step-1: Prime Factorization of 3900

Prime factors of 3900 are 2, 3, 5, 13. Prime factorization of 3900 in exponential form is:

3900 = 2² × 3¹ × 5² × 13¹

Step-2: Prime Factorization of 3910

Prime factors of 3910 are 2, 5, 17, 23. Prime factorization of 3910 in exponential form is:

3910 = 2¹ × 5¹ × 17¹ × 23¹

Step-3: Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950

Step-4: Factors of 3910

List of positive integer factors of 3910 that divides 3900 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3900 and 3910. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3910 is 10.

Also check out the Least Common Multiple of 3900 and 3910