What is the Greatest Common Factor of 39400 and 39413?

Greatest common factor (GCF) of 39400 and 39413 is 1.

GCF(39400,39413) = 1

We will now calculate the prime factors of 39400 and 39413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39400 and 39413.

How to find the GCF of 39400 and 39413?

We will first find the prime factorization of 39400 and 39413. After we will calculate the factors of 39400 and 39413 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 39413

Prime factors of 39413 are 11, 3583. Prime factorization of 39413 in exponential form is:

39413 = 11¹ × 3583¹

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 39413

List of positive integer factors of 39413 that divides 39400 without a remainder.

1, 11, 3583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39400 and 39413. The biggest common factor number is the GCF number.
So the greatest common factor 39400 and 39413 is 1.

Also check out the Least Common Multiple of 39400 and 39413