What is the Greatest Common Factor of 40064 and 40084?

Greatest common factor (GCF) of 40064 and 40084 is 4.

GCF(40064,40084) = 4

We will now calculate the prime factors of 40064 and 40084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40064 and 40084.

How to find the GCF of 40064 and 40084?

We will first find the prime factorization of 40064 and 40084. After we will calculate the factors of 40064 and 40084 and find the biggest common factor number .

Step-1: Prime Factorization of 40064

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

40064 = 2⁷ × 313¹

Step-2: Prime Factorization of 40084

Prime factors of 40084 are 2, 11, 911. Prime factorization of 40084 in exponential form is:

40084 = 2² × 11¹ × 911¹

Step-3: Factors of 40064

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

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

Step-4: Factors of 40084

List of positive integer factors of 40084 that divides 40064 without a remainder.

1, 2, 4, 11, 22, 44, 911, 1822, 3644, 10021, 20042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40064 and 40084. The biggest common factor number is the GCF number.
So the greatest common factor 40064 and 40084 is 4.

Also check out the Least Common Multiple of 40064 and 40084