What is the Greatest Common Factor of 3890 and 3900?

Greatest common factor (GCF) of 3890 and 3900 is 10.

GCF(3890,3900) = 10

We will now calculate the prime factors of 3890 and 3900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3890 and 3900.

How to find the GCF of 3890 and 3900?

We will first find the prime factorization of 3890 and 3900. After we will calculate the factors of 3890 and 3900 and find the biggest common factor number .

Step-1: Prime Factorization of 3890

Prime factors of 3890 are 2, 5, 389. Prime factorization of 3890 in exponential form is:

3890 = 2¹ × 5¹ × 389¹

Step-2: 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-3: Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1, 2, 5, 10, 389, 778, 1945

Step-4: Factors of 3900

List of positive integer factors of 3900 that divides 3890 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3890 and 3900. The biggest common factor number is the GCF number.
So the greatest common factor 3890 and 3900 is 10.

Also check out the Least Common Multiple of 3890 and 3900