What is the Greatest Common Factor of 43992 and 43996?

Greatest common factor (GCF) of 43992 and 43996 is 4.

GCF(43992,43996) = 4

We will now calculate the prime factors of 43992 and 43996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43992 and 43996.

How to find the GCF of 43992 and 43996?

We will first find the prime factorization of 43992 and 43996. After we will calculate the factors of 43992 and 43996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43996

Prime factors of 43996 are 2, 17, 647. Prime factorization of 43996 in exponential form is:

43996 = 2² × 17¹ × 647¹

Step-3: Factors of 43992

List of positive integer factors of 43992 that divides 43992 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

Step-4: Factors of 43996

List of positive integer factors of 43996 that divides 43992 without a remainder.

1, 2, 4, 17, 34, 68, 647, 1294, 2588, 10999, 21998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43992 and 43996. The biggest common factor number is the GCF number.
So the greatest common factor 43992 and 43996 is 4.

Also check out the Least Common Multiple of 43992 and 43996