What is the Greatest Common Factor of 84548 and 84562?

Greatest common factor (GCF) of 84548 and 84562 is 2.

GCF(84548,84562) = 2

We will now calculate the prime factors of 84548 and 84562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84548 and 84562.

How to find the GCF of 84548 and 84562?

We will first find the prime factorization of 84548 and 84562. After we will calculate the factors of 84548 and 84562 and find the biggest common factor number .

Step-1: Prime Factorization of 84548

Prime factors of 84548 are 2, 23, 919. Prime factorization of 84548 in exponential form is:

84548 = 2² × 23¹ × 919¹

Step-2: Prime Factorization of 84562

Prime factors of 84562 are 2, 42281. Prime factorization of 84562 in exponential form is:

84562 = 2¹ × 42281¹

Step-3: Factors of 84548

List of positive integer factors of 84548 that divides 84548 without a remainder.

1, 2, 4, 23, 46, 92, 919, 1838, 3676, 21137, 42274

Step-4: Factors of 84562

List of positive integer factors of 84562 that divides 84548 without a remainder.

1, 2, 42281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84548 and 84562. The biggest common factor number is the GCF number.
So the greatest common factor 84548 and 84562 is 2.

Also check out the Least Common Multiple of 84548 and 84562