What is the Greatest Common Factor of 40080 and 40092?

Greatest common factor (GCF) of 40080 and 40092 is 12.

GCF(40080,40092) = 12

We will now calculate the prime factors of 40080 and 40092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40080 and 40092.

How to find the GCF of 40080 and 40092?

We will first find the prime factorization of 40080 and 40092. After we will calculate the factors of 40080 and 40092 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40092

Prime factors of 40092 are 2, 3, 13, 257. Prime factorization of 40092 in exponential form is:

40092 = 2² × 3¹ × 13¹ × 257¹

Step-3: Factors of 40080

List of positive integer factors of 40080 that divides 40080 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

Step-4: Factors of 40092

List of positive integer factors of 40092 that divides 40080 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 257, 514, 771, 1028, 1542, 3084, 3341, 6682, 10023, 13364, 20046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40080 and 40092. The biggest common factor number is the GCF number.
So the greatest common factor 40080 and 40092 is 12.

Also check out the Least Common Multiple of 40080 and 40092