What is the Greatest Common Factor of 3314 and 3332?

Greatest common factor (GCF) of 3314 and 3332 is 2.

GCF(3314,3332) = 2

We will now calculate the prime factors of 3314 and 3332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3314 and 3332.

How to find the GCF of 3314 and 3332?

We will first find the prime factorization of 3314 and 3332. After we will calculate the factors of 3314 and 3332 and find the biggest common factor number .

Step-1: Prime Factorization of 3314

Prime factors of 3314 are 2, 1657. Prime factorization of 3314 in exponential form is:

3314 = 2¹ × 1657¹

Step-2: Prime Factorization of 3332

Prime factors of 3332 are 2, 7, 17. Prime factorization of 3332 in exponential form is:

3332 = 2² × 7² × 17¹

Step-3: Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1, 2, 1657

Step-4: Factors of 3332

List of positive integer factors of 3332 that divides 3314 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3314 and 3332. The biggest common factor number is the GCF number.
So the greatest common factor 3314 and 3332 is 2.

Also check out the Least Common Multiple of 3314 and 3332