What is the Greatest Common Factor of 41616 and 41628?

Greatest common factor (GCF) of 41616 and 41628 is 12.

GCF(41616,41628) = 12

We will now calculate the prime factors of 41616 and 41628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41616 and 41628.

How to find the GCF of 41616 and 41628?

We will first find the prime factorization of 41616 and 41628. After we will calculate the factors of 41616 and 41628 and find the biggest common factor number .

Step-1: Prime Factorization of 41616

Prime factors of 41616 are 2, 3, 17. Prime factorization of 41616 in exponential form is:

41616 = 2⁴ × 3² × 17²

Step-2: Prime Factorization of 41628

Prime factors of 41628 are 2, 3, 3469. Prime factorization of 41628 in exponential form is:

41628 = 2² × 3¹ × 3469¹

Step-3: Factors of 41616

List of positive integer factors of 41616 that divides 41616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 289, 306, 408, 578, 612, 816, 867, 1156, 1224, 1734, 2312, 2448, 2601, 3468, 4624, 5202, 6936, 10404, 13872, 20808

Step-4: Factors of 41628

List of positive integer factors of 41628 that divides 41616 without a remainder.

1, 2, 3, 4, 6, 12, 3469, 6938, 10407, 13876, 20814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41616 and 41628. The biggest common factor number is the GCF number.
So the greatest common factor 41616 and 41628 is 12.

Also check out the Least Common Multiple of 41616 and 41628