What is the Greatest Common Factor of 39380 and 39399?

Greatest common factor (GCF) of 39380 and 39399 is 1.

GCF(39380,39399) = 1

We will now calculate the prime factors of 39380 and 39399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39380 and 39399.

How to find the GCF of 39380 and 39399?

We will first find the prime factorization of 39380 and 39399. After we will calculate the factors of 39380 and 39399 and find the biggest common factor number .

Step-1: Prime Factorization of 39380

Prime factors of 39380 are 2, 5, 11, 179. Prime factorization of 39380 in exponential form is:

39380 = 2² × 5¹ × 11¹ × 179¹

Step-2: Prime Factorization of 39399

Prime factors of 39399 are 3, 23, 571. Prime factorization of 39399 in exponential form is:

39399 = 3¹ × 23¹ × 571¹

Step-3: Factors of 39380

List of positive integer factors of 39380 that divides 39380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 179, 220, 358, 716, 895, 1790, 1969, 3580, 3938, 7876, 9845, 19690

Step-4: Factors of 39399

List of positive integer factors of 39399 that divides 39380 without a remainder.

1, 3, 23, 69, 571, 1713, 13133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39380 and 39399. The biggest common factor number is the GCF number.
So the greatest common factor 39380 and 39399 is 1.

Also check out the Least Common Multiple of 39380 and 39399