What is the Greatest Common Factor of 40044 and 40062?

Greatest common factor (GCF) of 40044 and 40062 is 6.

GCF(40044,40062) = 6

We will now calculate the prime factors of 40044 and 40062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40044 and 40062.

How to find the GCF of 40044 and 40062?

We will first find the prime factorization of 40044 and 40062. After we will calculate the factors of 40044 and 40062 and find the biggest common factor number .

Step-1: Prime Factorization of 40044

Prime factors of 40044 are 2, 3, 47, 71. Prime factorization of 40044 in exponential form is:

40044 = 2² × 3¹ × 47¹ × 71¹

Step-2: Prime Factorization of 40062

Prime factors of 40062 are 2, 3, 11, 607. Prime factorization of 40062 in exponential form is:

40062 = 2¹ × 3¹ × 11¹ × 607¹

Step-3: Factors of 40044

List of positive integer factors of 40044 that divides 40044 without a remainder.

1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022

Step-4: Factors of 40062

List of positive integer factors of 40062 that divides 40044 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 607, 1214, 1821, 3642, 6677, 13354, 20031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40044 and 40062. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40062 is 6.

Also check out the Least Common Multiple of 40044 and 40062