What is the Greatest Common Factor of 13944 and 13962?

Greatest common factor (GCF) of 13944 and 13962 is 6.

GCF(13944,13962) = 6

We will now calculate the prime factors of 13944 and 13962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13944 and 13962.

How to find the GCF of 13944 and 13962?

We will first find the prime factorization of 13944 and 13962. After we will calculate the factors of 13944 and 13962 and find the biggest common factor number .

Step-1: Prime Factorization of 13944

Prime factors of 13944 are 2, 3, 7, 83. Prime factorization of 13944 in exponential form is:

13944 = 2³ × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 13962

Prime factors of 13962 are 2, 3, 13, 179. Prime factorization of 13962 in exponential form is:

13962 = 2¹ × 3¹ × 13¹ × 179¹

Step-3: Factors of 13944

List of positive integer factors of 13944 that divides 13944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 83, 84, 166, 168, 249, 332, 498, 581, 664, 996, 1162, 1743, 1992, 2324, 3486, 4648, 6972

Step-4: Factors of 13962

List of positive integer factors of 13962 that divides 13944 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 179, 358, 537, 1074, 2327, 4654, 6981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13944 and 13962. The biggest common factor number is the GCF number.
So the greatest common factor 13944 and 13962 is 6.

Also check out the Least Common Multiple of 13944 and 13962