What is the Greatest Common Factor of 44226 and 44239?

Greatest common factor (GCF) of 44226 and 44239 is 13.

GCF(44226,44239) = 13

We will now calculate the prime factors of 44226 and 44239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44226 and 44239.

How to find the GCF of 44226 and 44239?

We will first find the prime factorization of 44226 and 44239. After we will calculate the factors of 44226 and 44239 and find the biggest common factor number .

Step-1: Prime Factorization of 44226

Prime factors of 44226 are 2, 3, 7, 13. Prime factorization of 44226 in exponential form is:

44226 = 2¹ × 3⁵ × 7¹ × 13¹

Step-2: Prime Factorization of 44239

Prime factors of 44239 are 13, 41, 83. Prime factorization of 44239 in exponential form is:

44239 = 13¹ × 41¹ × 83¹

Step-3: Factors of 44226

List of positive integer factors of 44226 that divides 44226 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 81, 91, 117, 126, 162, 182, 189, 234, 243, 273, 351, 378, 486, 546, 567, 702, 819, 1053, 1134, 1638, 1701, 2106, 2457, 3159, 3402, 4914, 6318, 7371, 14742, 22113

Step-4: Factors of 44239

List of positive integer factors of 44239 that divides 44226 without a remainder.

1, 13, 41, 83, 533, 1079, 3403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44226 and 44239. The biggest common factor number is the GCF number.
So the greatest common factor 44226 and 44239 is 13.

Also check out the Least Common Multiple of 44226 and 44239