What is the Greatest Common Factor of 3835 and 3848?

Greatest common factor (GCF) of 3835 and 3848 is 13.

GCF(3835,3848) = 13

We will now calculate the prime factors of 3835 and 3848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3835 and 3848.

How to find the GCF of 3835 and 3848?

We will first find the prime factorization of 3835 and 3848. After we will calculate the factors of 3835 and 3848 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 3848

Prime factors of 3848 are 2, 13, 37. Prime factorization of 3848 in exponential form is:

3848 = 2³ × 13¹ × 37¹

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 3848

List of positive integer factors of 3848 that divides 3835 without a remainder.

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3835 and 3848. The biggest common factor number is the GCF number.
So the greatest common factor 3835 and 3848 is 13.

Also check out the Least Common Multiple of 3835 and 3848