What is the Greatest Common Factor of 3892 and 3899?

Greatest common factor (GCF) of 3892 and 3899 is 7.

GCF(3892,3899) = 7

We will now calculate the prime factors of 3892 and 3899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3892 and 3899.

How to find the GCF of 3892 and 3899?

We will first find the prime factorization of 3892 and 3899. After we will calculate the factors of 3892 and 3899 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 3899

Prime factors of 3899 are 7, 557. Prime factorization of 3899 in exponential form is:

3899 = 7¹ × 557¹

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 3899

List of positive integer factors of 3899 that divides 3892 without a remainder.

1, 7, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3892 and 3899. The biggest common factor number is the GCF number.
So the greatest common factor 3892 and 3899 is 7.

Also check out the Least Common Multiple of 3892 and 3899