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What is the Greatest Common Factor of 40080 and 40094?

Greatest common factor (GCF) of 40080 and 40094 is 2.

GCF(40080,40094) = 2

We will now calculate the prime factors of 40080 and 40094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40080 and 40094.

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How to find the GCF of 40080 and 40094?

We will first find the prime factorization of 40080 and 40094. After we will calculate the factors of 40080 and 40094 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 40094

Prime factors of 40094 are 2, 20047. Prime factorization of 40094 in exponential form is:

40094 = 21 × 200471

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 40094

List of positive integer factors of 40094 that divides 40080 without a remainder.

1, 2, 20047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40080 and 40094. The biggest common factor number is the GCF number.
So the greatest common factor 40080 and 40094 is 2.

Also check out the Least Common Multiple of 40080 and 40094