What is the Greatest Common Factor of 40908 and 40917?

Greatest common factor (GCF) of 40908 and 40917 is 3.

GCF(40908,40917) = 3

We will now calculate the prime factors of 40908 and 40917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40908 and 40917.

How to find the GCF of 40908 and 40917?

We will first find the prime factorization of 40908 and 40917. After we will calculate the factors of 40908 and 40917 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 40917

Prime factors of 40917 are 3, 23, 593. Prime factorization of 40917 in exponential form is:

40917 = 3¹ × 23¹ × 593¹

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 40917

List of positive integer factors of 40917 that divides 40908 without a remainder.

1, 3, 23, 69, 593, 1779, 13639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40908 and 40917. The biggest common factor number is the GCF number.
So the greatest common factor 40908 and 40917 is 3.

Also check out the Least Common Multiple of 40908 and 40917