What is the Greatest Common Factor of 28998 and 29018?

Greatest common factor (GCF) of 28998 and 29018 is 2.

GCF(28998,29018) = 2

We will now calculate the prime factors of 28998 and 29018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28998 and 29018.

How to find the GCF of 28998 and 29018?

We will first find the prime factorization of 28998 and 29018. After we will calculate the factors of 28998 and 29018 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 29018

Prime factors of 29018 are 2, 11, 1319. Prime factorization of 29018 in exponential form is:

29018 = 2¹ × 11¹ × 1319¹

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 29018

List of positive integer factors of 29018 that divides 28998 without a remainder.

1, 2, 11, 22, 1319, 2638, 14509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28998 and 29018. The biggest common factor number is the GCF number.
So the greatest common factor 28998 and 29018 is 2.

Also check out the Least Common Multiple of 28998 and 29018