What is the Greatest Common Factor of 40980 and 40994?

Greatest common factor (GCF) of 40980 and 40994 is 2.

GCF(40980,40994) = 2

We will now calculate the prime factors of 40980 and 40994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40980 and 40994.

How to find the GCF of 40980 and 40994?

We will first find the prime factorization of 40980 and 40994. After we will calculate the factors of 40980 and 40994 and find the biggest common factor number .

Step-1: Prime Factorization of 40980

Prime factors of 40980 are 2, 3, 5, 683. Prime factorization of 40980 in exponential form is:

40980 = 2² × 3¹ × 5¹ × 683¹

Step-2: Prime Factorization of 40994

Prime factors of 40994 are 2, 103, 199. Prime factorization of 40994 in exponential form is:

40994 = 2¹ × 103¹ × 199¹

Step-3: Factors of 40980

List of positive integer factors of 40980 that divides 40980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 683, 1366, 2049, 2732, 3415, 4098, 6830, 8196, 10245, 13660, 20490

Step-4: Factors of 40994

List of positive integer factors of 40994 that divides 40980 without a remainder.

1, 2, 103, 199, 206, 398, 20497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40980 and 40994. The biggest common factor number is the GCF number.
So the greatest common factor 40980 and 40994 is 2.

Also check out the Least Common Multiple of 40980 and 40994