What is the Greatest Common Factor of 41472 and 41492?

Greatest common factor (GCF) of 41472 and 41492 is 4.

GCF(41472,41492) = 4

We will now calculate the prime factors of 41472 and 41492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41472 and 41492.

How to find the GCF of 41472 and 41492?

We will first find the prime factorization of 41472 and 41492. After we will calculate the factors of 41472 and 41492 and find the biggest common factor number .

Step-1: Prime Factorization of 41472

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

41472 = 2⁹ × 3⁴

Step-2: Prime Factorization of 41492

Prime factors of 41492 are 2, 11, 23, 41. Prime factorization of 41492 in exponential form is:

41492 = 2² × 11¹ × 23¹ × 41¹

Step-3: Factors of 41472

List of positive integer factors of 41472 that divides 41472 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

Step-4: Factors of 41492

List of positive integer factors of 41492 that divides 41472 without a remainder.

1, 2, 4, 11, 22, 23, 41, 44, 46, 82, 92, 164, 253, 451, 506, 902, 943, 1012, 1804, 1886, 3772, 10373, 20746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41472 and 41492. The biggest common factor number is the GCF number.
So the greatest common factor 41472 and 41492 is 4.

Also check out the Least Common Multiple of 41472 and 41492