What is the Greatest Common Factor of 28998 and 29017?

Greatest common factor (GCF) of 28998 and 29017 is 1.

GCF(28998,29017) = 1

We will now calculate the prime factors of 28998 and 29017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28998 and 29017.

How to find the GCF of 28998 and 29017?

We will first find the prime factorization of 28998 and 29017. After we will calculate the factors of 28998 and 29017 and find the biggest common factor number .

Step-1: Prime Factorization of 28998

Prime factors of 28998 are 2, 3, 179. Prime factorization of 28998 in exponential form is:

28998 = 2¹ × 3⁴ × 179¹

Step-2: Prime Factorization of 29017

Prime factors of 29017 are 29017. Prime factorization of 29017 in exponential form is:

29017 = 29017¹

Step-3: Factors of 28998

List of positive integer factors of 28998 that divides 28998 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 179, 358, 537, 1074, 1611, 3222, 4833, 9666, 14499

Step-4: Factors of 29017

List of positive integer factors of 29017 that divides 28998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28998 and 29017. The biggest common factor number is the GCF number.
So the greatest common factor 28998 and 29017 is 1.

Also check out the Least Common Multiple of 28998 and 29017