What is the Greatest Common Factor of 39325 and 39338?

Greatest common factor (GCF) of 39325 and 39338 is 13.

GCF(39325,39338) = 13

We will now calculate the prime factors of 39325 and 39338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39325 and 39338.

How to find the GCF of 39325 and 39338?

We will first find the prime factorization of 39325 and 39338. After we will calculate the factors of 39325 and 39338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39338

Prime factors of 39338 are 2, 13, 17, 89. Prime factorization of 39338 in exponential form is:

39338 = 2¹ × 13¹ × 17¹ × 89¹

Step-3: Factors of 39325

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

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

Step-4: Factors of 39338

List of positive integer factors of 39338 that divides 39325 without a remainder.

1, 2, 13, 17, 26, 34, 89, 178, 221, 442, 1157, 1513, 2314, 3026, 19669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39325 and 39338. The biggest common factor number is the GCF number.
So the greatest common factor 39325 and 39338 is 13.

Also check out the Least Common Multiple of 39325 and 39338