What is the Greatest Common Factor of 40974 and 40989?

Greatest common factor (GCF) of 40974 and 40989 is 3.

GCF(40974,40989) = 3

We will now calculate the prime factors of 40974 and 40989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40974 and 40989.

How to find the GCF of 40974 and 40989?

We will first find the prime factorization of 40974 and 40989. After we will calculate the factors of 40974 and 40989 and find the biggest common factor number .

Step-1: Prime Factorization of 40974

Prime factors of 40974 are 2, 3, 6829. Prime factorization of 40974 in exponential form is:

40974 = 2¹ × 3¹ × 6829¹

Step-2: 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-3: Factors of 40974

List of positive integer factors of 40974 that divides 40974 without a remainder.

1, 2, 3, 6, 6829, 13658, 20487

Step-4: Factors of 40989

List of positive integer factors of 40989 that divides 40974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40974 and 40989. The biggest common factor number is the GCF number.
So the greatest common factor 40974 and 40989 is 3.

Also check out the Least Common Multiple of 40974 and 40989