What is the Greatest Common Factor of 3835 and 3850?

Greatest common factor (GCF) of 3835 and 3850 is 5.

GCF(3835,3850) = 5

We will now calculate the prime factors of 3835 and 3850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3835 and 3850.

How to find the GCF of 3835 and 3850?

We will first find the prime factorization of 3835 and 3850. After we will calculate the factors of 3835 and 3850 and find the biggest common factor number .

Step-1: Prime Factorization of 3835

Prime factors of 3835 are 5, 13, 59. Prime factorization of 3835 in exponential form is:

3835 = 5¹ × 13¹ × 59¹

Step-2: 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-3: Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1, 5, 13, 59, 65, 295, 767

Step-4: Factors of 3850

List of positive integer factors of 3850 that divides 3835 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3835 and 3850. The biggest common factor number is the GCF number.
So the greatest common factor 3835 and 3850 is 5.

Also check out the Least Common Multiple of 3835 and 3850