What is the Greatest Common Factor of 3782 and 3797?

Greatest common factor (GCF) of 3782 and 3797 is 1.

GCF(3782,3797) = 1

We will now calculate the prime factors of 3782 and 3797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3782 and 3797.

How to find the GCF of 3782 and 3797?

We will first find the prime factorization of 3782 and 3797. After we will calculate the factors of 3782 and 3797 and find the biggest common factor number .

Step-1: Prime Factorization of 3782

Prime factors of 3782 are 2, 31, 61. Prime factorization of 3782 in exponential form is:

3782 = 2¹ × 31¹ × 61¹

Step-2: Prime Factorization of 3797

Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:

3797 = 3797¹

Step-3: Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1, 2, 31, 61, 62, 122, 1891

Step-4: Factors of 3797

List of positive integer factors of 3797 that divides 3782 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3782 and 3797. The biggest common factor number is the GCF number.
So the greatest common factor 3782 and 3797 is 1.

Also check out the Least Common Multiple of 3782 and 3797