What is the Greatest Common Factor of 40044 and 40064?

Greatest common factor (GCF) of 40044 and 40064 is 4.

GCF(40044,40064) = 4

We will now calculate the prime factors of 40044 and 40064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40044 and 40064.

How to find the GCF of 40044 and 40064?

We will first find the prime factorization of 40044 and 40064. After we will calculate the factors of 40044 and 40064 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 40064

Prime factors of 40064 are 2, 313. Prime factorization of 40064 in exponential form is:

40064 = 2⁷ × 313¹

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 40064

List of positive integer factors of 40064 that divides 40044 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 313, 626, 1252, 2504, 5008, 10016, 20032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40044 and 40064. The biggest common factor number is the GCF number.
So the greatest common factor 40044 and 40064 is 4.

Also check out the Least Common Multiple of 40044 and 40064