What is the Greatest Common Factor of 40908 and 40915?

Greatest common factor (GCF) of 40908 and 40915 is 7.

GCF(40908,40915) = 7

We will now calculate the prime factors of 40908 and 40915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40908 and 40915.

How to find the GCF of 40908 and 40915?

We will first find the prime factorization of 40908 and 40915. After we will calculate the factors of 40908 and 40915 and find the biggest common factor number .

Step-1: Prime Factorization of 40908

Prime factors of 40908 are 2, 3, 7, 487. Prime factorization of 40908 in exponential form is:

40908 = 2² × 3¹ × 7¹ × 487¹

Step-2: 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-3: Factors of 40908

List of positive integer factors of 40908 that divides 40908 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 487, 974, 1461, 1948, 2922, 3409, 5844, 6818, 10227, 13636, 20454

Step-4: Factors of 40915

List of positive integer factors of 40915 that divides 40908 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40908 and 40915. The biggest common factor number is the GCF number.
So the greatest common factor 40908 and 40915 is 7.

Also check out the Least Common Multiple of 40908 and 40915