What is the Greatest Common Factor of 3759 and 3779?

Greatest common factor (GCF) of 3759 and 3779 is 1.

GCF(3759,3779) = 1

We will now calculate the prime factors of 3759 and 3779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3759 and 3779.

How to find the GCF of 3759 and 3779?

We will first find the prime factorization of 3759 and 3779. After we will calculate the factors of 3759 and 3779 and find the biggest common factor number .

Step-1: Prime Factorization of 3759

Prime factors of 3759 are 3, 7, 179. Prime factorization of 3759 in exponential form is:

3759 = 3¹ × 7¹ × 179¹

Step-2: Prime Factorization of 3779

Prime factors of 3779 are 3779. Prime factorization of 3779 in exponential form is:

3779 = 3779¹

Step-3: Factors of 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1, 3, 7, 21, 179, 537, 1253

Step-4: Factors of 3779

List of positive integer factors of 3779 that divides 3759 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3759 and 3779. The biggest common factor number is the GCF number.
So the greatest common factor 3759 and 3779 is 1.

Also check out the Least Common Multiple of 3759 and 3779