What is the Greatest Common Factor of 39380 and 39392?

Greatest common factor (GCF) of 39380 and 39392 is 4.

GCF(39380,39392) = 4

We will now calculate the prime factors of 39380 and 39392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39380 and 39392.

How to find the GCF of 39380 and 39392?

We will first find the prime factorization of 39380 and 39392. After we will calculate the factors of 39380 and 39392 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 39392

Prime factors of 39392 are 2, 1231. Prime factorization of 39392 in exponential form is:

39392 = 2⁵ × 1231¹

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 39392

List of positive integer factors of 39392 that divides 39380 without a remainder.

1, 2, 4, 8, 16, 32, 1231, 2462, 4924, 9848, 19696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39380 and 39392. The biggest common factor number is the GCF number.
So the greatest common factor 39380 and 39392 is 4.

Also check out the Least Common Multiple of 39380 and 39392