What is the Greatest Common Factor of 28978 and 28998?

Greatest common factor (GCF) of 28978 and 28998 is 2.

GCF(28978,28998) = 2

We will now calculate the prime factors of 28978 and 28998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28978 and 28998.

How to find the GCF of 28978 and 28998?

We will first find the prime factorization of 28978 and 28998. After we will calculate the factors of 28978 and 28998 and find the biggest common factor number .

Step-1: Prime Factorization of 28978

Prime factors of 28978 are 2, 14489. Prime factorization of 28978 in exponential form is:

28978 = 2¹ × 14489¹

Step-2: 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-3: Factors of 28978

List of positive integer factors of 28978 that divides 28978 without a remainder.

1, 2, 14489

Step-4: Factors of 28998

List of positive integer factors of 28998 that divides 28978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28978 and 28998. The biggest common factor number is the GCF number.
So the greatest common factor 28978 and 28998 is 2.

Also check out the Least Common Multiple of 28978 and 28998