What is the Greatest Common Factor of 40935 and 40944?

Greatest common factor (GCF) of 40935 and 40944 is 3.

GCF(40935,40944) = 3

We will now calculate the prime factors of 40935 and 40944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40935 and 40944.

How to find the GCF of 40935 and 40944?

We will first find the prime factorization of 40935 and 40944. After we will calculate the factors of 40935 and 40944 and find the biggest common factor number .

Step-1: Prime Factorization of 40935

Prime factors of 40935 are 3, 5, 2729. Prime factorization of 40935 in exponential form is:

40935 = 3¹ × 5¹ × 2729¹

Step-2: Prime Factorization of 40944

Prime factors of 40944 are 2, 3, 853. Prime factorization of 40944 in exponential form is:

40944 = 2⁴ × 3¹ × 853¹

Step-3: Factors of 40935

List of positive integer factors of 40935 that divides 40935 without a remainder.

1, 3, 5, 15, 2729, 8187, 13645

Step-4: Factors of 40944

List of positive integer factors of 40944 that divides 40935 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 853, 1706, 2559, 3412, 5118, 6824, 10236, 13648, 20472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40935 and 40944. The biggest common factor number is the GCF number.
So the greatest common factor 40935 and 40944 is 3.

Also check out the Least Common Multiple of 40935 and 40944