What is the Greatest Common Factor of 28997 and 29013?

Greatest common factor (GCF) of 28997 and 29013 is 1.

GCF(28997,29013) = 1

We will now calculate the prime factors of 28997 and 29013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28997 and 29013.

How to find the GCF of 28997 and 29013?

We will first find the prime factorization of 28997 and 29013. After we will calculate the factors of 28997 and 29013 and find the biggest common factor number .

Step-1: Prime Factorization of 28997

Prime factors of 28997 are 107, 271. Prime factorization of 28997 in exponential form is:

28997 = 107¹ × 271¹

Step-2: Prime Factorization of 29013

Prime factors of 29013 are 3, 19, 509. Prime factorization of 29013 in exponential form is:

29013 = 3¹ × 19¹ × 509¹

Step-3: Factors of 28997

List of positive integer factors of 28997 that divides 28997 without a remainder.

1, 107, 271

Step-4: Factors of 29013

List of positive integer factors of 29013 that divides 28997 without a remainder.

1, 3, 19, 57, 509, 1527, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28997 and 29013. The biggest common factor number is the GCF number.
So the greatest common factor 28997 and 29013 is 1.

Also check out the Least Common Multiple of 28997 and 29013