What is the Greatest Common Factor of 39304 and 39314?

Greatest common factor (GCF) of 39304 and 39314 is 2.

GCF(39304,39314) = 2

We will now calculate the prime factors of 39304 and 39314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39304 and 39314.

How to find the GCF of 39304 and 39314?

We will first find the prime factorization of 39304 and 39314. After we will calculate the factors of 39304 and 39314 and find the biggest common factor number .

Step-1: Prime Factorization of 39304

Prime factors of 39304 are 2, 17. Prime factorization of 39304 in exponential form is:

39304 = 2³ × 17³

Step-2: 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-3: Factors of 39304

List of positive integer factors of 39304 that divides 39304 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312, 4913, 9826, 19652

Step-4: Factors of 39314

List of positive integer factors of 39314 that divides 39304 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39304 and 39314. The biggest common factor number is the GCF number.
So the greatest common factor 39304 and 39314 is 2.

Also check out the Least Common Multiple of 39304 and 39314