What is the Greatest Common Factor of 40074 and 40080?

Greatest common factor (GCF) of 40074 and 40080 is 6.

GCF(40074,40080) = 6

We will now calculate the prime factors of 40074 and 40080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40074 and 40080.

How to find the GCF of 40074 and 40080?

We will first find the prime factorization of 40074 and 40080. After we will calculate the factors of 40074 and 40080 and find the biggest common factor number .

Step-1: Prime Factorization of 40074

Prime factors of 40074 are 2, 3, 6679. Prime factorization of 40074 in exponential form is:

40074 = 2¹ × 3¹ × 6679¹

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 40074

List of positive integer factors of 40074 that divides 40074 without a remainder.

1, 2, 3, 6, 6679, 13358, 20037

Step-4: Factors of 40080

List of positive integer factors of 40080 that divides 40074 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 40074 and 40080. The biggest common factor number is the GCF number.
So the greatest common factor 40074 and 40080 is 6.

Also check out the Least Common Multiple of 40074 and 40080