What is the Greatest Common Factor of 43956 and 43963?

Greatest common factor (GCF) of 43956 and 43963 is 1.

GCF(43956,43963) = 1

We will now calculate the prime factors of 43956 and 43963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43956 and 43963.

How to find the GCF of 43956 and 43963?

We will first find the prime factorization of 43956 and 43963. After we will calculate the factors of 43956 and 43963 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 43963

Prime factors of 43963 are 43963. Prime factorization of 43963 in exponential form is:

43963 = 43963¹

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 43963

List of positive integer factors of 43963 that divides 43956 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43956 and 43963. The biggest common factor number is the GCF number.
So the greatest common factor 43956 and 43963 is 1.

Also check out the Least Common Multiple of 43956 and 43963