What is the Greatest Common Factor of 57545 and 57562?

Greatest common factor (GCF) of 57545 and 57562 is 17.

GCF(57545,57562) = 17

We will now calculate the prime factors of 57545 and 57562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57545 and 57562.

How to find the GCF of 57545 and 57562?

We will first find the prime factorization of 57545 and 57562. After we will calculate the factors of 57545 and 57562 and find the biggest common factor number .

Step-1: Prime Factorization of 57545

Prime factors of 57545 are 5, 17, 677. Prime factorization of 57545 in exponential form is:

57545 = 5¹ × 17¹ × 677¹

Step-2: Prime Factorization of 57562

Prime factors of 57562 are 2, 17, 1693. Prime factorization of 57562 in exponential form is:

57562 = 2¹ × 17¹ × 1693¹

Step-3: Factors of 57545

List of positive integer factors of 57545 that divides 57545 without a remainder.

1, 5, 17, 85, 677, 3385, 11509

Step-4: Factors of 57562

List of positive integer factors of 57562 that divides 57545 without a remainder.

1, 2, 17, 34, 1693, 3386, 28781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57545 and 57562. The biggest common factor number is the GCF number.
So the greatest common factor 57545 and 57562 is 17.

Also check out the Least Common Multiple of 57545 and 57562