What is the Greatest Common Factor of 39380 and 39400?

Greatest common factor (GCF) of 39380 and 39400 is 20.

GCF(39380,39400) = 20

We will now calculate the prime factors of 39380 and 39400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39380 and 39400.

How to find the GCF of 39380 and 39400?

We will first find the prime factorization of 39380 and 39400. After we will calculate the factors of 39380 and 39400 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 39400

Prime factors of 39400 are 2, 5, 197. Prime factorization of 39400 in exponential form is:

39400 = 2³ × 5² × 197¹

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 39400

List of positive integer factors of 39400 that divides 39380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 197, 200, 394, 788, 985, 1576, 1970, 3940, 4925, 7880, 9850, 19700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39380 and 39400. The biggest common factor number is the GCF number.
So the greatest common factor 39380 and 39400 is 20.

Also check out the Least Common Multiple of 39380 and 39400