What is the Greatest Common Factor of 57577 and 57583?

Greatest common factor (GCF) of 57577 and 57583 is 1.

GCF(57577,57583) = 1

We will now calculate the prime factors of 57577 and 57583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57577 and 57583.

How to find the GCF of 57577 and 57583?

We will first find the prime factorization of 57577 and 57583. After we will calculate the factors of 57577 and 57583 and find the biggest common factor number .

Step-1: Prime Factorization of 57577

Prime factors of 57577 are 13, 43, 103. Prime factorization of 57577 in exponential form is:

57577 = 13¹ × 43¹ × 103¹

Step-2: Prime Factorization of 57583

Prime factors of 57583 are 89, 647. Prime factorization of 57583 in exponential form is:

57583 = 89¹ × 647¹

Step-3: Factors of 57577

List of positive integer factors of 57577 that divides 57577 without a remainder.

1, 13, 43, 103, 559, 1339, 4429

Step-4: Factors of 57583

List of positive integer factors of 57583 that divides 57577 without a remainder.

1, 89, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57577 and 57583. The biggest common factor number is the GCF number.
So the greatest common factor 57577 and 57583 is 1.

Also check out the Least Common Multiple of 57577 and 57583