What is the Greatest Common Factor of 43956 and 43974?

Greatest common factor (GCF) of 43956 and 43974 is 18.

GCF(43956,43974) = 18

We will now calculate the prime factors of 43956 and 43974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43956 and 43974.

How to find the GCF of 43956 and 43974?

We will first find the prime factorization of 43956 and 43974. After we will calculate the factors of 43956 and 43974 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 43974

Prime factors of 43974 are 2, 3, 7, 349. Prime factorization of 43974 in exponential form is:

43974 = 2¹ × 3² × 7¹ × 349¹

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 43974

List of positive integer factors of 43974 that divides 43956 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 349, 698, 1047, 2094, 2443, 3141, 4886, 6282, 7329, 14658, 21987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43956 and 43974. The biggest common factor number is the GCF number.
So the greatest common factor 43956 and 43974 is 18.

Also check out the Least Common Multiple of 43956 and 43974