What is the Greatest Common Factor of 41272 and 41286?

Greatest common factor (GCF) of 41272 and 41286 is 14.

GCF(41272,41286) = 14

We will now calculate the prime factors of 41272 and 41286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41272 and 41286.

How to find the GCF of 41272 and 41286?

We will first find the prime factorization of 41272 and 41286. After we will calculate the factors of 41272 and 41286 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 41286

Prime factors of 41286 are 2, 3, 7, 983. Prime factorization of 41286 in exponential form is:

41286 = 2¹ × 3¹ × 7¹ × 983¹

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 41286

List of positive integer factors of 41286 that divides 41272 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 983, 1966, 2949, 5898, 6881, 13762, 20643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41272 and 41286. The biggest common factor number is the GCF number.
So the greatest common factor 41272 and 41286 is 14.

Also check out the Least Common Multiple of 41272 and 41286