What is the Greatest Common Factor of 40989 and 40998?

Greatest common factor (GCF) of 40989 and 40998 is 3.

GCF(40989,40998) = 3

We will now calculate the prime factors of 40989 and 40998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40989 and 40998.

How to find the GCF of 40989 and 40998?

We will first find the prime factorization of 40989 and 40998. After we will calculate the factors of 40989 and 40998 and find the biggest common factor number .

Step-1: Prime Factorization of 40989

Prime factors of 40989 are 3, 13, 1051. Prime factorization of 40989 in exponential form is:

40989 = 3¹ × 13¹ × 1051¹

Step-2: Prime Factorization of 40998

Prime factors of 40998 are 2, 3, 6833. Prime factorization of 40998 in exponential form is:

40998 = 2¹ × 3¹ × 6833¹

Step-3: Factors of 40989

List of positive integer factors of 40989 that divides 40989 without a remainder.

1, 3, 13, 39, 1051, 3153, 13663

Step-4: Factors of 40998

List of positive integer factors of 40998 that divides 40989 without a remainder.

1, 2, 3, 6, 6833, 13666, 20499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40989 and 40998. The biggest common factor number is the GCF number.
So the greatest common factor 40989 and 40998 is 3.

Also check out the Least Common Multiple of 40989 and 40998