What is the Greatest Common Factor of 13992 and 14003?

Greatest common factor (GCF) of 13992 and 14003 is 11.

GCF(13992,14003) = 11

We will now calculate the prime factors of 13992 and 14003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13992 and 14003.

How to find the GCF of 13992 and 14003?

We will first find the prime factorization of 13992 and 14003. After we will calculate the factors of 13992 and 14003 and find the biggest common factor number .

Step-1: Prime Factorization of 13992

Prime factors of 13992 are 2, 3, 11, 53. Prime factorization of 13992 in exponential form is:

13992 = 2³ × 3¹ × 11¹ × 53¹

Step-2: Prime Factorization of 14003

Prime factors of 14003 are 11, 19, 67. Prime factorization of 14003 in exponential form is:

14003 = 11¹ × 19¹ × 67¹

Step-3: Factors of 13992

List of positive integer factors of 13992 that divides 13992 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 53, 66, 88, 106, 132, 159, 212, 264, 318, 424, 583, 636, 1166, 1272, 1749, 2332, 3498, 4664, 6996

Step-4: Factors of 14003

List of positive integer factors of 14003 that divides 13992 without a remainder.

1, 11, 19, 67, 209, 737, 1273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13992 and 14003. The biggest common factor number is the GCF number.
So the greatest common factor 13992 and 14003 is 11.

Also check out the Least Common Multiple of 13992 and 14003