What is the Greatest Common Factor of 57509 and 57520?

Greatest common factor (GCF) of 57509 and 57520 is 1.

GCF(57509,57520) = 1

We will now calculate the prime factors of 57509 and 57520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57509 and 57520.

How to find the GCF of 57509 and 57520?

We will first find the prime factorization of 57509 and 57520. After we will calculate the factors of 57509 and 57520 and find the biggest common factor number .

Step-1: Prime Factorization of 57509

Prime factors of 57509 are 131, 439. Prime factorization of 57509 in exponential form is:

57509 = 131¹ × 439¹

Step-2: Prime Factorization of 57520

Prime factors of 57520 are 2, 5, 719. Prime factorization of 57520 in exponential form is:

57520 = 2⁴ × 5¹ × 719¹

Step-3: Factors of 57509

List of positive integer factors of 57509 that divides 57509 without a remainder.

1, 131, 439

Step-4: Factors of 57520

List of positive integer factors of 57520 that divides 57509 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 719, 1438, 2876, 3595, 5752, 7190, 11504, 14380, 28760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57509 and 57520. The biggest common factor number is the GCF number.
So the greatest common factor 57509 and 57520 is 1.

Also check out the Least Common Multiple of 57509 and 57520