What is the Greatest Common Factor of 48546 and 48556?

Greatest common factor (GCF) of 48546 and 48556 is 2.

GCF(48546,48556) = 2

We will now calculate the prime factors of 48546 and 48556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48546 and 48556.

How to find the GCF of 48546 and 48556?

We will first find the prime factorization of 48546 and 48556. After we will calculate the factors of 48546 and 48556 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 48556

Prime factors of 48556 are 2, 61, 199. Prime factorization of 48556 in exponential form is:

48556 = 2² × 61¹ × 199¹

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 48556

List of positive integer factors of 48556 that divides 48546 without a remainder.

1, 2, 4, 61, 122, 199, 244, 398, 796, 12139, 24278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48546 and 48556. The biggest common factor number is the GCF number.
So the greatest common factor 48546 and 48556 is 2.

Also check out the Least Common Multiple of 48546 and 48556