What is the Greatest Common Factor of 41614 and 41632?

Greatest common factor (GCF) of 41614 and 41632 is 2.

GCF(41614,41632) = 2

We will now calculate the prime factors of 41614 and 41632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41614 and 41632.

How to find the GCF of 41614 and 41632?

We will first find the prime factorization of 41614 and 41632. After we will calculate the factors of 41614 and 41632 and find the biggest common factor number .

Step-1: Prime Factorization of 41614

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

41614 = 2¹ × 20807¹

Step-2: Prime Factorization of 41632

Prime factors of 41632 are 2, 1301. Prime factorization of 41632 in exponential form is:

41632 = 2⁵ × 1301¹

Step-3: Factors of 41614

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

1, 2, 20807

Step-4: Factors of 41632

List of positive integer factors of 41632 that divides 41614 without a remainder.

1, 2, 4, 8, 16, 32, 1301, 2602, 5204, 10408, 20816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41614 and 41632. The biggest common factor number is the GCF number.
So the greatest common factor 41614 and 41632 is 2.

Also check out the Least Common Multiple of 41614 and 41632