What is the Greatest Common Factor of 39424 and 39431?

Greatest common factor (GCF) of 39424 and 39431 is 7.

GCF(39424,39431) = 7

We will now calculate the prime factors of 39424 and 39431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39431.

How to find the GCF of 39424 and 39431?

We will first find the prime factorization of 39424 and 39431. After we will calculate the factors of 39424 and 39431 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 39431

Prime factors of 39431 are 7, 43, 131. Prime factorization of 39431 in exponential form is:

39431 = 7¹ × 43¹ × 131¹

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 39431

List of positive integer factors of 39431 that divides 39424 without a remainder.

1, 7, 43, 131, 301, 917, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39431. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39431 is 7.

Also check out the Least Common Multiple of 39424 and 39431