What is the Greatest Common Factor of 3892 and 3905?

Greatest common factor (GCF) of 3892 and 3905 is 1.

GCF(3892,3905) = 1

We will now calculate the prime factors of 3892 and 3905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3892 and 3905.

How to find the GCF of 3892 and 3905?

We will first find the prime factorization of 3892 and 3905. After we will calculate the factors of 3892 and 3905 and find the biggest common factor number .

Step-1: Prime Factorization of 3892

Prime factors of 3892 are 2, 7, 139. Prime factorization of 3892 in exponential form is:

3892 = 2² × 7¹ × 139¹

Step-2: Prime Factorization of 3905

Prime factors of 3905 are 5, 11, 71. Prime factorization of 3905 in exponential form is:

3905 = 5¹ × 11¹ × 71¹

Step-3: Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946

Step-4: Factors of 3905

List of positive integer factors of 3905 that divides 3892 without a remainder.

1, 5, 11, 55, 71, 355, 781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3892 and 3905. The biggest common factor number is the GCF number.
So the greatest common factor 3892 and 3905 is 1.

Also check out the Least Common Multiple of 3892 and 3905