What is the Greatest Common Factor of 39440 and 39459?

Greatest common factor (GCF) of 39440 and 39459 is 1.

GCF(39440,39459) = 1

We will now calculate the prime factors of 39440 and 39459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39440 and 39459.

How to find the GCF of 39440 and 39459?

We will first find the prime factorization of 39440 and 39459. After we will calculate the factors of 39440 and 39459 and find the biggest common factor number .

Step-1: Prime Factorization of 39440

Prime factors of 39440 are 2, 5, 17, 29. Prime factorization of 39440 in exponential form is:

39440 = 2⁴ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 39459

Prime factors of 39459 are 3, 7, 1879. Prime factorization of 39459 in exponential form is:

39459 = 3¹ × 7¹ × 1879¹

Step-3: Factors of 39440

List of positive integer factors of 39440 that divides 39440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 29, 34, 40, 58, 68, 80, 85, 116, 136, 145, 170, 232, 272, 290, 340, 464, 493, 580, 680, 986, 1160, 1360, 1972, 2320, 2465, 3944, 4930, 7888, 9860, 19720

Step-4: Factors of 39459

List of positive integer factors of 39459 that divides 39440 without a remainder.

1, 3, 7, 21, 1879, 5637, 13153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39440 and 39459. The biggest common factor number is the GCF number.
So the greatest common factor 39440 and 39459 is 1.

Also check out the Least Common Multiple of 39440 and 39459