What is the Greatest Common Factor of 42997 and 43007?

Greatest common factor (GCF) of 42997 and 43007 is 1.

GCF(42997,43007) = 1

We will now calculate the prime factors of 42997 and 43007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42997 and 43007.

How to find the GCF of 42997 and 43007?

We will first find the prime factorization of 42997 and 43007. After we will calculate the factors of 42997 and 43007 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 43007

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

43007 = 29¹ × 1483¹

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 43007

List of positive integer factors of 43007 that divides 42997 without a remainder.

1, 29, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42997 and 43007. The biggest common factor number is the GCF number.
So the greatest common factor 42997 and 43007 is 1.

Also check out the Least Common Multiple of 42997 and 43007