What is the Greatest Common Factor of 42997 and 43013?

Greatest common factor (GCF) of 42997 and 43013 is 1.

GCF(42997,43013) = 1

We will now calculate the prime factors of 42997 and 43013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42997 and 43013.

How to find the GCF of 42997 and 43013?

We will first find the prime factorization of 42997 and 43013. After we will calculate the factors of 42997 and 43013 and find the biggest common factor number .

Step-1: Prime Factorization of 42997

Prime factors of 42997 are 19, 31, 73. Prime factorization of 42997 in exponential form is:

42997 = 19¹ × 31¹ × 73¹

Step-2: Prime Factorization of 43013

Prime factors of 43013 are 43013. Prime factorization of 43013 in exponential form is:

43013 = 43013¹

Step-3: Factors of 42997

List of positive integer factors of 42997 that divides 42997 without a remainder.

1, 19, 31, 73, 589, 1387, 2263

Step-4: Factors of 43013

List of positive integer factors of 43013 that divides 42997 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42997 and 43013. The biggest common factor number is the GCF number.
So the greatest common factor 42997 and 43013 is 1.

Also check out the Least Common Multiple of 42997 and 43013