What is the Greatest Common Factor of 3749 and 3760?

Greatest common factor (GCF) of 3749 and 3760 is 1.

GCF(3749,3760) = 1

We will now calculate the prime factors of 3749 and 3760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3749 and 3760.

How to find the GCF of 3749 and 3760?

We will first find the prime factorization of 3749 and 3760. After we will calculate the factors of 3749 and 3760 and find the biggest common factor number .

Step-1: Prime Factorization of 3749

Prime factors of 3749 are 23, 163. Prime factorization of 3749 in exponential form is:

3749 = 23¹ × 163¹

Step-2: Prime Factorization of 3760

Prime factors of 3760 are 2, 5, 47. Prime factorization of 3760 in exponential form is:

3760 = 2⁴ × 5¹ × 47¹

Step-3: Factors of 3749

List of positive integer factors of 3749 that divides 3749 without a remainder.

1, 23, 163

Step-4: Factors of 3760

List of positive integer factors of 3760 that divides 3749 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3749 and 3760. The biggest common factor number is the GCF number.
So the greatest common factor 3749 and 3760 is 1.

Also check out the Least Common Multiple of 3749 and 3760