What is the Greatest Common Factor of 3850 and 3864?

Greatest common factor (GCF) of 3850 and 3864 is 14.

GCF(3850,3864) = 14

We will now calculate the prime factors of 3850 and 3864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3850 and 3864.

How to find the GCF of 3850 and 3864?

We will first find the prime factorization of 3850 and 3864. After we will calculate the factors of 3850 and 3864 and find the biggest common factor number .

Step-1: Prime Factorization of 3850

Prime factors of 3850 are 2, 5, 7, 11. Prime factorization of 3850 in exponential form is:

3850 = 2¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 3864

Prime factors of 3864 are 2, 3, 7, 23. Prime factorization of 3864 in exponential form is:

3864 = 2³ × 3¹ × 7¹ × 23¹

Step-3: Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925

Step-4: Factors of 3864

List of positive integer factors of 3864 that divides 3850 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3850 and 3864. The biggest common factor number is the GCF number.
So the greatest common factor 3850 and 3864 is 14.

Also check out the Least Common Multiple of 3850 and 3864