What is the Greatest Common Factor of 43986 and 43992?

Greatest common factor (GCF) of 43986 and 43992 is 6.

GCF(43986,43992) = 6

We will now calculate the prime factors of 43986 and 43992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43986 and 43992.

How to find the GCF of 43986 and 43992?

We will first find the prime factorization of 43986 and 43992. After we will calculate the factors of 43986 and 43992 and find the biggest common factor number .

Step-1: Prime Factorization of 43986

Prime factors of 43986 are 2, 3, 7331. Prime factorization of 43986 in exponential form is:

43986 = 2¹ × 3¹ × 7331¹

Step-2: Prime Factorization of 43992

Prime factors of 43992 are 2, 3, 13, 47. Prime factorization of 43992 in exponential form is:

43992 = 2³ × 3² × 13¹ × 47¹

Step-3: Factors of 43986

List of positive integer factors of 43986 that divides 43986 without a remainder.

1, 2, 3, 6, 7331, 14662, 21993

Step-4: Factors of 43992

List of positive integer factors of 43992 that divides 43986 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 47, 52, 72, 78, 94, 104, 117, 141, 156, 188, 234, 282, 312, 376, 423, 468, 564, 611, 846, 936, 1128, 1222, 1692, 1833, 2444, 3384, 3666, 4888, 5499, 7332, 10998, 14664, 21996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43986 and 43992. The biggest common factor number is the GCF number.
So the greatest common factor 43986 and 43992 is 6.

Also check out the Least Common Multiple of 43986 and 43992