What is the Greatest Common Factor of 42988 and 43004?

Greatest common factor (GCF) of 42988 and 43004 is 4.

GCF(42988,43004) = 4

We will now calculate the prime factors of 42988 and 43004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42988 and 43004.

How to find the GCF of 42988 and 43004?

We will first find the prime factorization of 42988 and 43004. After we will calculate the factors of 42988 and 43004 and find the biggest common factor number .

Step-1: Prime Factorization of 42988

Prime factors of 42988 are 2, 11, 977. Prime factorization of 42988 in exponential form is:

42988 = 2² × 11¹ × 977¹

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 42988

List of positive integer factors of 42988 that divides 42988 without a remainder.

1, 2, 4, 11, 22, 44, 977, 1954, 3908, 10747, 21494

Step-4: Factors of 43004

List of positive integer factors of 43004 that divides 42988 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 42988 and 43004. The biggest common factor number is the GCF number.
So the greatest common factor 42988 and 43004 is 4.

Also check out the Least Common Multiple of 42988 and 43004