What is the Greatest Common Factor of 42984 and 43003?

Greatest common factor (GCF) of 42984 and 43003 is 1.

GCF(42984,43003) = 1

We will now calculate the prime factors of 42984 and 43003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42984 and 43003.

How to find the GCF of 42984 and 43003?

We will first find the prime factorization of 42984 and 43003. After we will calculate the factors of 42984 and 43003 and find the biggest common factor number .

Step-1: Prime Factorization of 42984

Prime factors of 42984 are 2, 3, 199. Prime factorization of 42984 in exponential form is:

42984 = 2³ × 3³ × 199¹

Step-2: Prime Factorization of 43003

Prime factors of 43003 are 43003. Prime factorization of 43003 in exponential form is:

43003 = 43003¹

Step-3: Factors of 42984

List of positive integer factors of 42984 that divides 42984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 199, 216, 398, 597, 796, 1194, 1592, 1791, 2388, 3582, 4776, 5373, 7164, 10746, 14328, 21492

Step-4: Factors of 43003

List of positive integer factors of 43003 that divides 42984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42984 and 43003. The biggest common factor number is the GCF number.
So the greatest common factor 42984 and 43003 is 1.

Also check out the Least Common Multiple of 42984 and 43003