What is the Greatest Common Factor of 40965 and 40980?

Greatest common factor (GCF) of 40965 and 40980 is 15.

GCF(40965,40980) = 15

We will now calculate the prime factors of 40965 and 40980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40965 and 40980.

How to find the GCF of 40965 and 40980?

We will first find the prime factorization of 40965 and 40980. After we will calculate the factors of 40965 and 40980 and find the biggest common factor number .

Step-1: Prime Factorization of 40965

Prime factors of 40965 are 3, 5, 2731. Prime factorization of 40965 in exponential form is:

40965 = 3¹ × 5¹ × 2731¹

Step-2: 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-3: Factors of 40965

List of positive integer factors of 40965 that divides 40965 without a remainder.

1, 3, 5, 15, 2731, 8193, 13655

Step-4: Factors of 40980

List of positive integer factors of 40980 that divides 40965 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40965 and 40980. The biggest common factor number is the GCF number.
So the greatest common factor 40965 and 40980 is 15.

Also check out the Least Common Multiple of 40965 and 40980