What is the Greatest Common Factor of 43956 and 43973?

Greatest common factor (GCF) of 43956 and 43973 is 1.

GCF(43956,43973) = 1

We will now calculate the prime factors of 43956 and 43973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43956 and 43973.

How to find the GCF of 43956 and 43973?

We will first find the prime factorization of 43956 and 43973. After we will calculate the factors of 43956 and 43973 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 43973

Prime factors of 43973 are 43973. Prime factorization of 43973 in exponential form is:

43973 = 43973¹

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 43973

List of positive integer factors of 43973 that divides 43956 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43956 and 43973. The biggest common factor number is the GCF number.
So the greatest common factor 43956 and 43973 is 1.

Also check out the Least Common Multiple of 43956 and 43973