What is the Greatest Common Factor of 41272 and 41283?

Greatest common factor (GCF) of 41272 and 41283 is 11.

GCF(41272,41283) = 11

We will now calculate the prime factors of 41272 and 41283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41272 and 41283.

How to find the GCF of 41272 and 41283?

We will first find the prime factorization of 41272 and 41283. After we will calculate the factors of 41272 and 41283 and find the biggest common factor number .

Step-1: Prime Factorization of 41272

Prime factors of 41272 are 2, 7, 11, 67. Prime factorization of 41272 in exponential form is:

41272 = 2³ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 41283

Prime factors of 41283 are 3, 11, 139. Prime factorization of 41283 in exponential form is:

41283 = 3³ × 11¹ × 139¹

Step-3: Factors of 41272

List of positive integer factors of 41272 that divides 41272 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 67, 77, 88, 134, 154, 268, 308, 469, 536, 616, 737, 938, 1474, 1876, 2948, 3752, 5159, 5896, 10318, 20636

Step-4: Factors of 41283

List of positive integer factors of 41283 that divides 41272 without a remainder.

1, 3, 9, 11, 27, 33, 99, 139, 297, 417, 1251, 1529, 3753, 4587, 13761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41272 and 41283. The biggest common factor number is the GCF number.
So the greatest common factor 41272 and 41283 is 11.

Also check out the Least Common Multiple of 41272 and 41283