What is the Greatest Common Factor of 43956 and 43967?

Greatest common factor (GCF) of 43956 and 43967 is 11.

GCF(43956,43967) = 11

We will now calculate the prime factors of 43956 and 43967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43956 and 43967.

How to find the GCF of 43956 and 43967?

We will first find the prime factorization of 43956 and 43967. After we will calculate the factors of 43956 and 43967 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 43967

Prime factors of 43967 are 7, 11, 571. Prime factorization of 43967 in exponential form is:

43967 = 7¹ × 11¹ × 571¹

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 43967

List of positive integer factors of 43967 that divides 43956 without a remainder.

1, 7, 11, 77, 571, 3997, 6281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43956 and 43967. The biggest common factor number is the GCF number.
So the greatest common factor 43956 and 43967 is 11.

Also check out the Least Common Multiple of 43956 and 43967