What is the Greatest Common Factor of 39400 and 39407?

Greatest common factor (GCF) of 39400 and 39407 is 1.

GCF(39400,39407) = 1

We will now calculate the prime factors of 39400 and 39407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39400 and 39407.

How to find the GCF of 39400 and 39407?

We will first find the prime factorization of 39400 and 39407. After we will calculate the factors of 39400 and 39407 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 39407

Prime factors of 39407 are 157, 251. Prime factorization of 39407 in exponential form is:

39407 = 157¹ × 251¹

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 39407

List of positive integer factors of 39407 that divides 39400 without a remainder.

1, 157, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39400 and 39407. The biggest common factor number is the GCF number.
So the greatest common factor 39400 and 39407 is 1.

Also check out the Least Common Multiple of 39400 and 39407