What is the Greatest Common Factor of 41696 and 41712?

Greatest common factor (GCF) of 41696 and 41712 is 16.

GCF(41696,41712) = 16

We will now calculate the prime factors of 41696 and 41712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41696 and 41712.

How to find the GCF of 41696 and 41712?

We will first find the prime factorization of 41696 and 41712. After we will calculate the factors of 41696 and 41712 and find the biggest common factor number .

Step-1: Prime Factorization of 41696

Prime factors of 41696 are 2, 1303. Prime factorization of 41696 in exponential form is:

41696 = 2⁵ × 1303¹

Step-2: Prime Factorization of 41712

Prime factors of 41712 are 2, 3, 11, 79. Prime factorization of 41712 in exponential form is:

41712 = 2⁴ × 3¹ × 11¹ × 79¹

Step-3: Factors of 41696

List of positive integer factors of 41696 that divides 41696 without a remainder.

1, 2, 4, 8, 16, 32, 1303, 2606, 5212, 10424, 20848

Step-4: Factors of 41712

List of positive integer factors of 41712 that divides 41696 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 79, 88, 132, 158, 176, 237, 264, 316, 474, 528, 632, 869, 948, 1264, 1738, 1896, 2607, 3476, 3792, 5214, 6952, 10428, 13904, 20856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41696 and 41712. The biggest common factor number is the GCF number.
So the greatest common factor 41696 and 41712 is 16.

Also check out the Least Common Multiple of 41696 and 41712