What is the Greatest Common Factor of 39424 and 39438?

Greatest common factor (GCF) of 39424 and 39438 is 14.

GCF(39424,39438) = 14

We will now calculate the prime factors of 39424 and 39438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39438.

How to find the GCF of 39424 and 39438?

We will first find the prime factorization of 39424 and 39438. After we will calculate the factors of 39424 and 39438 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 39438

Prime factors of 39438 are 2, 3, 7, 313. Prime factorization of 39438 in exponential form is:

39438 = 2¹ × 3² × 7¹ × 313¹

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 39438

List of positive integer factors of 39438 that divides 39424 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 313, 626, 939, 1878, 2191, 2817, 4382, 5634, 6573, 13146, 19719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39438. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39438 is 14.

Also check out the Least Common Multiple of 39424 and 39438