What is the Greatest Common Factor of 54574 and 54589?

Greatest common factor (GCF) of 54574 and 54589 is 1.

GCF(54574,54589) = 1

We will now calculate the prime factors of 54574 and 54589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54574 and 54589.

How to find the GCF of 54574 and 54589?

We will first find the prime factorization of 54574 and 54589. After we will calculate the factors of 54574 and 54589 and find the biggest common factor number .

Step-1: Prime Factorization of 54574

Prime factors of 54574 are 2, 13, 2099. Prime factorization of 54574 in exponential form is:

54574 = 2¹ × 13¹ × 2099¹

Step-2: Prime Factorization of 54589

Prime factors of 54589 are 79, 691. Prime factorization of 54589 in exponential form is:

54589 = 79¹ × 691¹

Step-3: Factors of 54574

List of positive integer factors of 54574 that divides 54574 without a remainder.

1, 2, 13, 26, 2099, 4198, 27287

Step-4: Factors of 54589

List of positive integer factors of 54589 that divides 54574 without a remainder.

1, 79, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54574 and 54589. The biggest common factor number is the GCF number.
So the greatest common factor 54574 and 54589 is 1.

Also check out the Least Common Multiple of 54574 and 54589