What is the Greatest Common Factor of 39400 and 39412?

Greatest common factor (GCF) of 39400 and 39412 is 4.

GCF(39400,39412) = 4

We will now calculate the prime factors of 39400 and 39412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39400 and 39412.

How to find the GCF of 39400 and 39412?

We will first find the prime factorization of 39400 and 39412. After we will calculate the factors of 39400 and 39412 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39412

Prime factors of 39412 are 2, 59, 167. Prime factorization of 39412 in exponential form is:

39412 = 2² × 59¹ × 167¹

Step-3: Factors of 39400

List of positive integer factors of 39400 that divides 39400 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

Step-4: Factors of 39412

List of positive integer factors of 39412 that divides 39400 without a remainder.

1, 2, 4, 59, 118, 167, 236, 334, 668, 9853, 19706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39400 and 39412. The biggest common factor number is the GCF number.
So the greatest common factor 39400 and 39412 is 4.

Also check out the Least Common Multiple of 39400 and 39412