What is the Greatest Common Factor of 43992 and 44012?

Greatest common factor (GCF) of 43992 and 44012 is 4.

GCF(43992,44012) = 4

We will now calculate the prime factors of 43992 and 44012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43992 and 44012.

How to find the GCF of 43992 and 44012?

We will first find the prime factorization of 43992 and 44012. After we will calculate the factors of 43992 and 44012 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 44012

Prime factors of 44012 are 2, 11003. Prime factorization of 44012 in exponential form is:

44012 = 2² × 11003¹

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 44012

List of positive integer factors of 44012 that divides 43992 without a remainder.

1, 2, 4, 11003, 22006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43992 and 44012. The biggest common factor number is the GCF number.
So the greatest common factor 43992 and 44012 is 4.

Also check out the Least Common Multiple of 43992 and 44012