What is the Greatest Common Factor of 40915 and 40935?

Greatest common factor (GCF) of 40915 and 40935 is 5.

GCF(40915,40935) = 5

We will now calculate the prime factors of 40915 and 40935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40915 and 40935.

How to find the GCF of 40915 and 40935?

We will first find the prime factorization of 40915 and 40935. After we will calculate the factors of 40915 and 40935 and find the biggest common factor number .

Step-1: Prime Factorization of 40915

Prime factors of 40915 are 5, 7, 167. Prime factorization of 40915 in exponential form is:

40915 = 5¹ × 7² × 167¹

Step-2: 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-3: Factors of 40915

List of positive integer factors of 40915 that divides 40915 without a remainder.

1, 5, 7, 35, 49, 167, 245, 835, 1169, 5845, 8183

Step-4: Factors of 40935

List of positive integer factors of 40935 that divides 40915 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40915 and 40935. The biggest common factor number is the GCF number.
So the greatest common factor 40915 and 40935 is 5.

Also check out the Least Common Multiple of 40915 and 40935