What is the Greatest Common Factor of 53440 and 53459?

Greatest common factor (GCF) of 53440 and 53459 is 1.

GCF(53440,53459) = 1

We will now calculate the prime factors of 53440 and 53459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53440 and 53459.

How to find the GCF of 53440 and 53459?

We will first find the prime factorization of 53440 and 53459. After we will calculate the factors of 53440 and 53459 and find the biggest common factor number .

Step-1: Prime Factorization of 53440

Prime factors of 53440 are 2, 5, 167. Prime factorization of 53440 in exponential form is:

53440 = 2⁶ × 5¹ × 167¹

Step-2: Prime Factorization of 53459

Prime factors of 53459 are 7, 1091. Prime factorization of 53459 in exponential form is:

53459 = 7² × 1091¹

Step-3: Factors of 53440

List of positive integer factors of 53440 that divides 53440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 10688, 13360, 26720

Step-4: Factors of 53459

List of positive integer factors of 53459 that divides 53440 without a remainder.

1, 7, 49, 1091, 7637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53440 and 53459. The biggest common factor number is the GCF number.
So the greatest common factor 53440 and 53459 is 1.

Also check out the Least Common Multiple of 53440 and 53459