What is the Greatest Common Factor of 40044 and 40048?

Greatest common factor (GCF) of 40044 and 40048 is 4.

GCF(40044,40048) = 4

We will now calculate the prime factors of 40044 and 40048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40044 and 40048.

How to find the GCF of 40044 and 40048?

We will first find the prime factorization of 40044 and 40048. After we will calculate the factors of 40044 and 40048 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 40048

Prime factors of 40048 are 2, 2503. Prime factorization of 40048 in exponential form is:

40048 = 2⁴ × 2503¹

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 40048

List of positive integer factors of 40048 that divides 40044 without a remainder.

1, 2, 4, 8, 16, 2503, 5006, 10012, 20024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40044 and 40048. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40048 is 4.

Also check out the Least Common Multiple of 40044 and 40048