What is the Greatest Common Factor of 4037 and 4048?

Greatest common factor (GCF) of 4037 and 4048 is 11.

GCF(4037,4048) = 11

We will now calculate the prime factors of 4037 and 4048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4037 and 4048.

How to find the GCF of 4037 and 4048?

We will first find the prime factorization of 4037 and 4048. After we will calculate the factors of 4037 and 4048 and find the biggest common factor number .

Step-1: Prime Factorization of 4037

Prime factors of 4037 are 11, 367. Prime factorization of 4037 in exponential form is:

4037 = 11¹ × 367¹

Step-2: Prime Factorization of 4048

Prime factors of 4048 are 2, 11, 23. Prime factorization of 4048 in exponential form is:

4048 = 2⁴ × 11¹ × 23¹

Step-3: Factors of 4037

List of positive integer factors of 4037 that divides 4037 without a remainder.

1, 11, 367

Step-4: Factors of 4048

List of positive integer factors of 4048 that divides 4037 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4037 and 4048. The biggest common factor number is the GCF number.
So the greatest common factor 4037 and 4048 is 11.

Also check out the Least Common Multiple of 4037 and 4048