What is the Greatest Common Factor of 41464 and 41472?

Greatest common factor (GCF) of 41464 and 41472 is 8.

GCF(41464,41472) = 8

We will now calculate the prime factors of 41464 and 41472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41464 and 41472.

How to find the GCF of 41464 and 41472?

We will first find the prime factorization of 41464 and 41472. After we will calculate the factors of 41464 and 41472 and find the biggest common factor number .

Step-1: Prime Factorization of 41464

Prime factors of 41464 are 2, 71, 73. Prime factorization of 41464 in exponential form is:

41464 = 2³ × 71¹ × 73¹

Step-2: Prime Factorization of 41472

Prime factors of 41472 are 2, 3. Prime factorization of 41472 in exponential form is:

41472 = 2⁹ × 3⁴

Step-3: Factors of 41464

List of positive integer factors of 41464 that divides 41464 without a remainder.

1, 2, 4, 8, 71, 73, 142, 146, 284, 292, 568, 584, 5183, 10366, 20732

Step-4: Factors of 41472

List of positive integer factors of 41472 that divides 41464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 512, 576, 648, 768, 864, 1152, 1296, 1536, 1728, 2304, 2592, 3456, 4608, 5184, 6912, 10368, 13824, 20736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41464 and 41472. The biggest common factor number is the GCF number.
So the greatest common factor 41464 and 41472 is 8.

Also check out the Least Common Multiple of 41464 and 41472