What is the Greatest Common Factor of 13988 and 14008?

Greatest common factor (GCF) of 13988 and 14008 is 4.

GCF(13988,14008) = 4

We will now calculate the prime factors of 13988 and 14008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13988 and 14008.

How to find the GCF of 13988 and 14008?

We will first find the prime factorization of 13988 and 14008. After we will calculate the factors of 13988 and 14008 and find the biggest common factor number .

Step-1: Prime Factorization of 13988

Prime factors of 13988 are 2, 13, 269. Prime factorization of 13988 in exponential form is:

13988 = 2² × 13¹ × 269¹

Step-2: Prime Factorization of 14008

Prime factors of 14008 are 2, 17, 103. Prime factorization of 14008 in exponential form is:

14008 = 2³ × 17¹ × 103¹

Step-3: Factors of 13988

List of positive integer factors of 13988 that divides 13988 without a remainder.

1, 2, 4, 13, 26, 52, 269, 538, 1076, 3497, 6994

Step-4: Factors of 14008

List of positive integer factors of 14008 that divides 13988 without a remainder.

1, 2, 4, 8, 17, 34, 68, 103, 136, 206, 412, 824, 1751, 3502, 7004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13988 and 14008. The biggest common factor number is the GCF number.
So the greatest common factor 13988 and 14008 is 4.

Also check out the Least Common Multiple of 13988 and 14008