What is the Greatest Common Factor of 42986 and 43004?

Greatest common factor (GCF) of 42986 and 43004 is 2.

GCF(42986,43004) = 2

We will now calculate the prime factors of 42986 and 43004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42986 and 43004.

How to find the GCF of 42986 and 43004?

We will first find the prime factorization of 42986 and 43004. After we will calculate the factors of 42986 and 43004 and find the biggest common factor number .

Step-1: Prime Factorization of 42986

Prime factors of 42986 are 2, 21493. Prime factorization of 42986 in exponential form is:

42986 = 2¹ × 21493¹

Step-2: Prime Factorization of 43004

Prime factors of 43004 are 2, 13, 827. Prime factorization of 43004 in exponential form is:

43004 = 2² × 13¹ × 827¹

Step-3: Factors of 42986

List of positive integer factors of 42986 that divides 42986 without a remainder.

1, 2, 21493

Step-4: Factors of 43004

List of positive integer factors of 43004 that divides 42986 without a remainder.

1, 2, 4, 13, 26, 52, 827, 1654, 3308, 10751, 21502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42986 and 43004. The biggest common factor number is the GCF number.
So the greatest common factor 42986 and 43004 is 2.

Also check out the Least Common Multiple of 42986 and 43004