What is the Greatest Common Factor of 40048 and 40064?

Greatest common factor (GCF) of 40048 and 40064 is 16.

GCF(40048,40064) = 16

We will now calculate the prime factors of 40048 and 40064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40048 and 40064.

How to find the GCF of 40048 and 40064?

We will first find the prime factorization of 40048 and 40064. After we will calculate the factors of 40048 and 40064 and find the biggest common factor number .

Step-1: Prime Factorization of 40048

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

40048 = 2⁴ × 2503¹

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 40048

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

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

Step-4: Factors of 40064

List of positive integer factors of 40064 that divides 40048 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 40048 and 40064. The biggest common factor number is the GCF number.
So the greatest common factor 40048 and 40064 is 16.

Also check out the Least Common Multiple of 40048 and 40064