What is the Greatest Common Factor of 57582 and 57589?

Greatest common factor (GCF) of 57582 and 57589 is 7.

GCF(57582,57589) = 7

We will now calculate the prime factors of 57582 and 57589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57582 and 57589.

How to find the GCF of 57582 and 57589?

We will first find the prime factorization of 57582 and 57589. After we will calculate the factors of 57582 and 57589 and find the biggest common factor number .

Step-1: Prime Factorization of 57582

Prime factors of 57582 are 2, 3, 7, 457. Prime factorization of 57582 in exponential form is:

57582 = 2¹ × 3² × 7¹ × 457¹

Step-2: Prime Factorization of 57589

Prime factors of 57589 are 7, 19, 433. Prime factorization of 57589 in exponential form is:

57589 = 7¹ × 19¹ × 433¹

Step-3: Factors of 57582

List of positive integer factors of 57582 that divides 57582 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 457, 914, 1371, 2742, 3199, 4113, 6398, 8226, 9597, 19194, 28791

Step-4: Factors of 57589

List of positive integer factors of 57589 that divides 57582 without a remainder.

1, 7, 19, 133, 433, 3031, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57582 and 57589. The biggest common factor number is the GCF number.
So the greatest common factor 57582 and 57589 is 7.

Also check out the Least Common Multiple of 57582 and 57589