What is the Greatest Common Factor of 42988 and 43007?

Greatest common factor (GCF) of 42988 and 43007 is 1.

GCF(42988,43007) = 1

We will now calculate the prime factors of 42988 and 43007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42988 and 43007.

How to find the GCF of 42988 and 43007?

We will first find the prime factorization of 42988 and 43007. After we will calculate the factors of 42988 and 43007 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 43007

Prime factors of 43007 are 29, 1483. Prime factorization of 43007 in exponential form is:

43007 = 29¹ × 1483¹

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 43007

List of positive integer factors of 43007 that divides 42988 without a remainder.

1, 29, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42988 and 43007. The biggest common factor number is the GCF number.
So the greatest common factor 42988 and 43007 is 1.

Also check out the Least Common Multiple of 42988 and 43007