What is the Greatest Common Factor of 13970 and 13981?

Greatest common factor (GCF) of 13970 and 13981 is 11.

GCF(13970,13981) = 11

We will now calculate the prime factors of 13970 and 13981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13970 and 13981.

How to find the GCF of 13970 and 13981?

We will first find the prime factorization of 13970 and 13981. After we will calculate the factors of 13970 and 13981 and find the biggest common factor number .

Step-1: Prime Factorization of 13970

Prime factors of 13970 are 2, 5, 11, 127. Prime factorization of 13970 in exponential form is:

13970 = 2¹ × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 13981

Prime factors of 13981 are 11, 31, 41. Prime factorization of 13981 in exponential form is:

13981 = 11¹ × 31¹ × 41¹

Step-3: Factors of 13970

List of positive integer factors of 13970 that divides 13970 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 127, 254, 635, 1270, 1397, 2794, 6985

Step-4: Factors of 13981

List of positive integer factors of 13981 that divides 13970 without a remainder.

1, 11, 31, 41, 341, 451, 1271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13970 and 13981. The biggest common factor number is the GCF number.
So the greatest common factor 13970 and 13981 is 11.

Also check out the Least Common Multiple of 13970 and 13981