What is the Greatest Common Factor of 39314 and 39332?

Greatest common factor (GCF) of 39314 and 39332 is 2.

GCF(39314,39332) = 2

We will now calculate the prime factors of 39314 and 39332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39314 and 39332.

How to find the GCF of 39314 and 39332?

We will first find the prime factorization of 39314 and 39332. After we will calculate the factors of 39314 and 39332 and find the biggest common factor number .

Step-1: Prime Factorization of 39314

Prime factors of 39314 are 2, 11, 1787. Prime factorization of 39314 in exponential form is:

39314 = 2¹ × 11¹ × 1787¹

Step-2: Prime Factorization of 39332

Prime factors of 39332 are 2, 9833. Prime factorization of 39332 in exponential form is:

39332 = 2² × 9833¹

Step-3: Factors of 39314

List of positive integer factors of 39314 that divides 39314 without a remainder.

1, 2, 11, 22, 1787, 3574, 19657

Step-4: Factors of 39332

List of positive integer factors of 39332 that divides 39314 without a remainder.

1, 2, 4, 9833, 19666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39314 and 39332. The biggest common factor number is the GCF number.
So the greatest common factor 39314 and 39332 is 2.

Also check out the Least Common Multiple of 39314 and 39332