What is the Greatest Common Factor of 41608 and 41615?

Greatest common factor (GCF) of 41608 and 41615 is 7.

GCF(41608,41615) = 7

We will now calculate the prime factors of 41608 and 41615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41608 and 41615.

How to find the GCF of 41608 and 41615?

We will first find the prime factorization of 41608 and 41615. After we will calculate the factors of 41608 and 41615 and find the biggest common factor number .

Step-1: Prime Factorization of 41608

Prime factors of 41608 are 2, 7, 743. Prime factorization of 41608 in exponential form is:

41608 = 2³ × 7¹ × 743¹

Step-2: Prime Factorization of 41615

Prime factors of 41615 are 5, 7, 29, 41. Prime factorization of 41615 in exponential form is:

41615 = 5¹ × 7¹ × 29¹ × 41¹

Step-3: Factors of 41608

List of positive integer factors of 41608 that divides 41608 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 743, 1486, 2972, 5201, 5944, 10402, 20804

Step-4: Factors of 41615

List of positive integer factors of 41615 that divides 41608 without a remainder.

1, 5, 7, 29, 35, 41, 145, 203, 205, 287, 1015, 1189, 1435, 5945, 8323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41608 and 41615. The biggest common factor number is the GCF number.
So the greatest common factor 41608 and 41615 is 7.

Also check out the Least Common Multiple of 41608 and 41615