What is the Greatest Common Factor of 39424 and 39442?

Greatest common factor (GCF) of 39424 and 39442 is 2.

GCF(39424,39442) = 2

We will now calculate the prime factors of 39424 and 39442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39442.

How to find the GCF of 39424 and 39442?

We will first find the prime factorization of 39424 and 39442. After we will calculate the factors of 39424 and 39442 and find the biggest common factor number .

Step-1: Prime Factorization of 39424

Prime factors of 39424 are 2, 7, 11. Prime factorization of 39424 in exponential form is:

39424 = 2⁹ × 7¹ × 11¹

Step-2: Prime Factorization of 39442

Prime factors of 39442 are 2, 13, 37, 41. Prime factorization of 39442 in exponential form is:

39442 = 2¹ × 13¹ × 37¹ × 41¹

Step-3: Factors of 39424

List of positive integer factors of 39424 that divides 39424 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 256, 308, 352, 448, 512, 616, 704, 896, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 9856, 19712

Step-4: Factors of 39442

List of positive integer factors of 39442 that divides 39424 without a remainder.

1, 2, 13, 26, 37, 41, 74, 82, 481, 533, 962, 1066, 1517, 3034, 19721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39442. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39442 is 2.

Also check out the Least Common Multiple of 39424 and 39442