What is the Greatest Common Factor of 13943 and 13948?

Greatest common factor (GCF) of 13943 and 13948 is 1.

GCF(13943,13948) = 1

We will now calculate the prime factors of 13943 and 13948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13943 and 13948.

How to find the GCF of 13943 and 13948?

We will first find the prime factorization of 13943 and 13948. After we will calculate the factors of 13943 and 13948 and find the biggest common factor number .

Step-1: Prime Factorization of 13943

Prime factors of 13943 are 73, 191. Prime factorization of 13943 in exponential form is:

13943 = 73¹ × 191¹

Step-2: Prime Factorization of 13948

Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:

13948 = 2² × 11¹ × 317¹

Step-3: Factors of 13943

List of positive integer factors of 13943 that divides 13943 without a remainder.

1, 73, 191

Step-4: Factors of 13948

List of positive integer factors of 13948 that divides 13943 without a remainder.

1, 2, 4, 11, 22, 44, 317, 634, 1268, 3487, 6974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13943 and 13948. The biggest common factor number is the GCF number.
So the greatest common factor 13943 and 13948 is 1.

Also check out the Least Common Multiple of 13943 and 13948