What is the Greatest Common Factor of 84541 and 84558?

Greatest common factor (GCF) of 84541 and 84558 is 17.

GCF(84541,84558) = 17

We will now calculate the prime factors of 84541 and 84558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84541 and 84558.

How to find the GCF of 84541 and 84558?

We will first find the prime factorization of 84541 and 84558. After we will calculate the factors of 84541 and 84558 and find the biggest common factor number .

Step-1: Prime Factorization of 84541

Prime factors of 84541 are 17, 4973. Prime factorization of 84541 in exponential form is:

84541 = 17¹ × 4973¹

Step-2: Prime Factorization of 84558

Prime factors of 84558 are 2, 3, 17, 829. Prime factorization of 84558 in exponential form is:

84558 = 2¹ × 3¹ × 17¹ × 829¹

Step-3: Factors of 84541

List of positive integer factors of 84541 that divides 84541 without a remainder.

1, 17, 4973

Step-4: Factors of 84558

List of positive integer factors of 84558 that divides 84541 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 829, 1658, 2487, 4974, 14093, 28186, 42279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84541 and 84558. The biggest common factor number is the GCF number.
So the greatest common factor 84541 and 84558 is 17.

Also check out the Least Common Multiple of 84541 and 84558