What is the Greatest Common Factor of 41608 and 41614?

Greatest common factor (GCF) of 41608 and 41614 is 2.

GCF(41608,41614) = 2

We will now calculate the prime factors of 41608 and 41614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41608 and 41614.

How to find the GCF of 41608 and 41614?

We will first find the prime factorization of 41608 and 41614. After we will calculate the factors of 41608 and 41614 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 41614

Prime factors of 41614 are 2, 20807. Prime factorization of 41614 in exponential form is:

41614 = 2¹ × 20807¹

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 41614

List of positive integer factors of 41614 that divides 41608 without a remainder.

1, 2, 20807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41608 and 41614. The biggest common factor number is the GCF number.
So the greatest common factor 41608 and 41614 is 2.

Also check out the Least Common Multiple of 41608 and 41614