What is the Greatest Common Factor of 13944 and 13951?

Greatest common factor (GCF) of 13944 and 13951 is 7.

GCF(13944,13951) = 7

We will now calculate the prime factors of 13944 and 13951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13944 and 13951.

How to find the GCF of 13944 and 13951?

We will first find the prime factorization of 13944 and 13951. After we will calculate the factors of 13944 and 13951 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 13951

Prime factors of 13951 are 7, 1993. Prime factorization of 13951 in exponential form is:

13951 = 7¹ × 1993¹

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 13951

List of positive integer factors of 13951 that divides 13944 without a remainder.

1, 7, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13944 and 13951. The biggest common factor number is the GCF number.
So the greatest common factor 13944 and 13951 is 7.

Also check out the Least Common Multiple of 13944 and 13951