What is the Greatest Common Factor of 18978 and 18998?

Greatest common factor (GCF) of 18978 and 18998 is 2.

GCF(18978,18998) = 2

We will now calculate the prime factors of 18978 and 18998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18978 and 18998.

How to find the GCF of 18978 and 18998?

We will first find the prime factorization of 18978 and 18998. After we will calculate the factors of 18978 and 18998 and find the biggest common factor number .

Step-1: Prime Factorization of 18978

Prime factors of 18978 are 2, 3, 3163. Prime factorization of 18978 in exponential form is:

18978 = 2¹ × 3¹ × 3163¹

Step-2: Prime Factorization of 18998

Prime factors of 18998 are 2, 7, 23, 59. Prime factorization of 18998 in exponential form is:

18998 = 2¹ × 7¹ × 23¹ × 59¹

Step-3: Factors of 18978

List of positive integer factors of 18978 that divides 18978 without a remainder.

1, 2, 3, 6, 3163, 6326, 9489

Step-4: Factors of 18998

List of positive integer factors of 18998 that divides 18978 without a remainder.

1, 2, 7, 14, 23, 46, 59, 118, 161, 322, 413, 826, 1357, 2714, 9499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18978 and 18998. The biggest common factor number is the GCF number.
So the greatest common factor 18978 and 18998 is 2.

Also check out the Least Common Multiple of 18978 and 18998