What is the Greatest Common Factor of 43956 and 43971?

Greatest common factor (GCF) of 43956 and 43971 is 3.

GCF(43956,43971) = 3

We will now calculate the prime factors of 43956 and 43971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43956 and 43971.

How to find the GCF of 43956 and 43971?

We will first find the prime factorization of 43956 and 43971. After we will calculate the factors of 43956 and 43971 and find the biggest common factor number .

Step-1: Prime Factorization of 43956

Prime factors of 43956 are 2, 3, 11, 37. Prime factorization of 43956 in exponential form is:

43956 = 2² × 3³ × 11¹ × 37¹

Step-2: Prime Factorization of 43971

Prime factors of 43971 are 3, 14657. Prime factorization of 43971 in exponential form is:

43971 = 3¹ × 14657¹

Step-3: Factors of 43956

List of positive integer factors of 43956 that divides 43956 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 37, 44, 54, 66, 74, 99, 108, 111, 132, 148, 198, 222, 297, 333, 396, 407, 444, 594, 666, 814, 999, 1188, 1221, 1332, 1628, 1998, 2442, 3663, 3996, 4884, 7326, 10989, 14652, 21978

Step-4: Factors of 43971

List of positive integer factors of 43971 that divides 43956 without a remainder.

1, 3, 14657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43956 and 43971. The biggest common factor number is the GCF number.
So the greatest common factor 43956 and 43971 is 3.

Also check out the Least Common Multiple of 43956 and 43971