What is the Greatest Common Factor of 40064 and 40080?

Greatest common factor (GCF) of 40064 and 40080 is 16.

GCF(40064,40080) = 16

We will now calculate the prime factors of 40064 and 40080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40064 and 40080.

How to find the GCF of 40064 and 40080?

We will first find the prime factorization of 40064 and 40080. After we will calculate the factors of 40064 and 40080 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 40080

Prime factors of 40080 are 2, 3, 5, 167. Prime factorization of 40080 in exponential form is:

40080 = 2⁴ × 3¹ × 5¹ × 167¹

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 40080

List of positive integer factors of 40080 that divides 40064 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 167, 240, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 6680, 8016, 10020, 13360, 20040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40064 and 40080. The biggest common factor number is the GCF number.
So the greatest common factor 40064 and 40080 is 16.

Also check out the Least Common Multiple of 40064 and 40080