What is the Greatest Common Factor of 39424 and 39435?

Greatest common factor (GCF) of 39424 and 39435 is 11.

GCF(39424,39435) = 11

We will now calculate the prime factors of 39424 and 39435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39435.

How to find the GCF of 39424 and 39435?

We will first find the prime factorization of 39424 and 39435. After we will calculate the factors of 39424 and 39435 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 39435

Prime factors of 39435 are 3, 5, 11, 239. Prime factorization of 39435 in exponential form is:

39435 = 3¹ × 5¹ × 11¹ × 239¹

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 39435

List of positive integer factors of 39435 that divides 39424 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 239, 717, 1195, 2629, 3585, 7887, 13145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39435. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39435 is 11.

Also check out the Least Common Multiple of 39424 and 39435