What is the Greatest Common Factor of 57505 and 57518?

Greatest common factor (GCF) of 57505 and 57518 is 1.

GCF(57505,57518) = 1

We will now calculate the prime factors of 57505 and 57518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57505 and 57518.

How to find the GCF of 57505 and 57518?

We will first find the prime factorization of 57505 and 57518. After we will calculate the factors of 57505 and 57518 and find the biggest common factor number .

Step-1: Prime Factorization of 57505

Prime factors of 57505 are 5, 7, 31, 53. Prime factorization of 57505 in exponential form is:

57505 = 5¹ × 7¹ × 31¹ × 53¹

Step-2: Prime Factorization of 57518

Prime factors of 57518 are 2, 28759. Prime factorization of 57518 in exponential form is:

57518 = 2¹ × 28759¹

Step-3: Factors of 57505

List of positive integer factors of 57505 that divides 57505 without a remainder.

1, 5, 7, 31, 35, 53, 155, 217, 265, 371, 1085, 1643, 1855, 8215, 11501

Step-4: Factors of 57518

List of positive integer factors of 57518 that divides 57505 without a remainder.

1, 2, 28759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57505 and 57518. The biggest common factor number is the GCF number.
So the greatest common factor 57505 and 57518 is 1.

Also check out the Least Common Multiple of 57505 and 57518