What is the Greatest Common Factor of 41296 and 41312?

Greatest common factor (GCF) of 41296 and 41312 is 16.

GCF(41296,41312) = 16

We will now calculate the prime factors of 41296 and 41312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41296 and 41312.

How to find the GCF of 41296 and 41312?

We will first find the prime factorization of 41296 and 41312. After we will calculate the factors of 41296 and 41312 and find the biggest common factor number .

Step-1: Prime Factorization of 41296

Prime factors of 41296 are 2, 29, 89. Prime factorization of 41296 in exponential form is:

41296 = 2⁴ × 29¹ × 89¹

Step-2: Prime Factorization of 41312

Prime factors of 41312 are 2, 1291. Prime factorization of 41312 in exponential form is:

41312 = 2⁵ × 1291¹

Step-3: Factors of 41296

List of positive integer factors of 41296 that divides 41296 without a remainder.

1, 2, 4, 8, 16, 29, 58, 89, 116, 178, 232, 356, 464, 712, 1424, 2581, 5162, 10324, 20648

Step-4: Factors of 41312

List of positive integer factors of 41312 that divides 41296 without a remainder.

1, 2, 4, 8, 16, 32, 1291, 2582, 5164, 10328, 20656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41296 and 41312. The biggest common factor number is the GCF number.
So the greatest common factor 41296 and 41312 is 16.

Also check out the Least Common Multiple of 41296 and 41312