What is the Greatest Common Factor of 39314 and 39325?

Greatest common factor (GCF) of 39314 and 39325 is 11.

GCF(39314,39325) = 11

We will now calculate the prime factors of 39314 and 39325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39314 and 39325.

How to find the GCF of 39314 and 39325?

We will first find the prime factorization of 39314 and 39325. After we will calculate the factors of 39314 and 39325 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 39325

Prime factors of 39325 are 5, 11, 13. Prime factorization of 39325 in exponential form is:

39325 = 5² × 11² × 13¹

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 39325

List of positive integer factors of 39325 that divides 39314 without a remainder.

1, 5, 11, 13, 25, 55, 65, 121, 143, 275, 325, 605, 715, 1573, 3025, 3575, 7865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39314 and 39325. The biggest common factor number is the GCF number.
So the greatest common factor 39314 and 39325 is 11.

Also check out the Least Common Multiple of 39314 and 39325