What is the Greatest Common Factor of 39320 and 39338?

Greatest common factor (GCF) of 39320 and 39338 is 2.

GCF(39320,39338) = 2

We will now calculate the prime factors of 39320 and 39338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39320 and 39338.

How to find the GCF of 39320 and 39338?

We will first find the prime factorization of 39320 and 39338. After we will calculate the factors of 39320 and 39338 and find the biggest common factor number .

Step-1: Prime Factorization of 39320

Prime factors of 39320 are 2, 5, 983. Prime factorization of 39320 in exponential form is:

39320 = 2³ × 5¹ × 983¹

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 39320

List of positive integer factors of 39320 that divides 39320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 983, 1966, 3932, 4915, 7864, 9830, 19660

Step-4: Factors of 39338

List of positive integer factors of 39338 that divides 39320 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 39320 and 39338. The biggest common factor number is the GCF number.
So the greatest common factor 39320 and 39338 is 2.

Also check out the Least Common Multiple of 39320 and 39338