What is the Greatest Common Factor of 13900 and 13907?

Greatest common factor (GCF) of 13900 and 13907 is 1.

GCF(13900,13907) = 1

We will now calculate the prime factors of 13900 and 13907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13900 and 13907.

How to find the GCF of 13900 and 13907?

We will first find the prime factorization of 13900 and 13907. After we will calculate the factors of 13900 and 13907 and find the biggest common factor number .

Step-1: Prime Factorization of 13900

Prime factors of 13900 are 2, 5, 139. Prime factorization of 13900 in exponential form is:

13900 = 2² × 5² × 139¹

Step-2: Prime Factorization of 13907

Prime factors of 13907 are 13907. Prime factorization of 13907 in exponential form is:

13907 = 13907¹

Step-3: Factors of 13900

List of positive integer factors of 13900 that divides 13900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 139, 278, 556, 695, 1390, 2780, 3475, 6950

Step-4: Factors of 13907

List of positive integer factors of 13907 that divides 13900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13900 and 13907. The biggest common factor number is the GCF number.
So the greatest common factor 13900 and 13907 is 1.

Also check out the Least Common Multiple of 13900 and 13907