What is the Greatest Common Factor of 13992 and 14012?

Greatest common factor (GCF) of 13992 and 14012 is 4.

GCF(13992,14012) = 4

We will now calculate the prime factors of 13992 and 14012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13992 and 14012.

How to find the GCF of 13992 and 14012?

We will first find the prime factorization of 13992 and 14012. After we will calculate the factors of 13992 and 14012 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 14012

Prime factors of 14012 are 2, 31, 113. Prime factorization of 14012 in exponential form is:

14012 = 2² × 31¹ × 113¹

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 14012

List of positive integer factors of 14012 that divides 13992 without a remainder.

1, 2, 4, 31, 62, 113, 124, 226, 452, 3503, 7006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13992 and 14012. The biggest common factor number is the GCF number.
So the greatest common factor 13992 and 14012 is 4.

Also check out the Least Common Multiple of 13992 and 14012