What is the Greatest Common Factor of 57505 and 57524?

Greatest common factor (GCF) of 57505 and 57524 is 1.

GCF(57505,57524) = 1

We will now calculate the prime factors of 57505 and 57524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57505 and 57524.

How to find the GCF of 57505 and 57524?

We will first find the prime factorization of 57505 and 57524. After we will calculate the factors of 57505 and 57524 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 57524

Prime factors of 57524 are 2, 73, 197. Prime factorization of 57524 in exponential form is:

57524 = 2² × 73¹ × 197¹

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 57524

List of positive integer factors of 57524 that divides 57505 without a remainder.

1, 2, 4, 73, 146, 197, 292, 394, 788, 14381, 28762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57505 and 57524. The biggest common factor number is the GCF number.
So the greatest common factor 57505 and 57524 is 1.

Also check out the Least Common Multiple of 57505 and 57524