What is the Greatest Common Factor of 48542 and 48556?

Greatest common factor (GCF) of 48542 and 48556 is 2.

GCF(48542,48556) = 2

We will now calculate the prime factors of 48542 and 48556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48542 and 48556.

How to find the GCF of 48542 and 48556?

We will first find the prime factorization of 48542 and 48556. After we will calculate the factors of 48542 and 48556 and find the biggest common factor number .

Step-1: Prime Factorization of 48542

Prime factors of 48542 are 2, 13, 1867. Prime factorization of 48542 in exponential form is:

48542 = 2¹ × 13¹ × 1867¹

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 48542

List of positive integer factors of 48542 that divides 48542 without a remainder.

1, 2, 13, 26, 1867, 3734, 24271

Step-4: Factors of 48556

List of positive integer factors of 48556 that divides 48542 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 48542 and 48556. The biggest common factor number is the GCF number.
So the greatest common factor 48542 and 48556 is 2.

Also check out the Least Common Multiple of 48542 and 48556