What is the Greatest Common Factor of 54574 and 54587?

Greatest common factor (GCF) of 54574 and 54587 is 13.

GCF(54574,54587) = 13

We will now calculate the prime factors of 54574 and 54587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54574 and 54587.

How to find the GCF of 54574 and 54587?

We will first find the prime factorization of 54574 and 54587. After we will calculate the factors of 54574 and 54587 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 54587

Prime factors of 54587 are 13, 17, 19. Prime factorization of 54587 in exponential form is:

54587 = 13² × 17¹ × 19¹

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 54587

List of positive integer factors of 54587 that divides 54574 without a remainder.

1, 13, 17, 19, 169, 221, 247, 323, 2873, 3211, 4199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54574 and 54587. The biggest common factor number is the GCF number.
So the greatest common factor 54574 and 54587 is 13.

Also check out the Least Common Multiple of 54574 and 54587