What is the Greatest Common Factor of 48546 and 48563?

Greatest common factor (GCF) of 48546 and 48563 is 1.

GCF(48546,48563) = 1

We will now calculate the prime factors of 48546 and 48563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48546 and 48563.

How to find the GCF of 48546 and 48563?

We will first find the prime factorization of 48546 and 48563. After we will calculate the factors of 48546 and 48563 and find the biggest common factor number .

Step-1: Prime Factorization of 48546

Prime factors of 48546 are 2, 3, 29, 31. Prime factorization of 48546 in exponential form is:

48546 = 2¹ × 3³ × 29¹ × 31¹

Step-2: Prime Factorization of 48563

Prime factors of 48563 are 48563. Prime factorization of 48563 in exponential form is:

48563 = 48563¹

Step-3: Factors of 48546

List of positive integer factors of 48546 that divides 48546 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 31, 54, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 783, 837, 899, 1566, 1674, 1798, 2697, 5394, 8091, 16182, 24273

Step-4: Factors of 48563

List of positive integer factors of 48563 that divides 48546 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48546 and 48563. The biggest common factor number is the GCF number.
So the greatest common factor 48546 and 48563 is 1.

Also check out the Least Common Multiple of 48546 and 48563