What is the Greatest Common Factor of 43992 and 44003?

Greatest common factor (GCF) of 43992 and 44003 is 1.

GCF(43992,44003) = 1

We will now calculate the prime factors of 43992 and 44003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43992 and 44003.

How to find the GCF of 43992 and 44003?

We will first find the prime factorization of 43992 and 44003. After we will calculate the factors of 43992 and 44003 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 44003

Prime factors of 44003 are 79, 557. Prime factorization of 44003 in exponential form is:

44003 = 79¹ × 557¹

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 44003

List of positive integer factors of 44003 that divides 43992 without a remainder.

1, 79, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43992 and 44003. The biggest common factor number is the GCF number.
So the greatest common factor 43992 and 44003 is 1.

Also check out the Least Common Multiple of 43992 and 44003