What is the Greatest Common Factor of 48856 and 48866?

Greatest common factor (GCF) of 48856 and 48866 is 2.

GCF(48856,48866) = 2

We will now calculate the prime factors of 48856 and 48866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48856 and 48866.

How to find the GCF of 48856 and 48866?

We will first find the prime factorization of 48856 and 48866. After we will calculate the factors of 48856 and 48866 and find the biggest common factor number .

Step-1: Prime Factorization of 48856

Prime factors of 48856 are 2, 31, 197. Prime factorization of 48856 in exponential form is:

48856 = 2³ × 31¹ × 197¹

Step-2: Prime Factorization of 48866

Prime factors of 48866 are 2, 53, 461. Prime factorization of 48866 in exponential form is:

48866 = 2¹ × 53¹ × 461¹

Step-3: Factors of 48856

List of positive integer factors of 48856 that divides 48856 without a remainder.

1, 2, 4, 8, 31, 62, 124, 197, 248, 394, 788, 1576, 6107, 12214, 24428

Step-4: Factors of 48866

List of positive integer factors of 48866 that divides 48856 without a remainder.

1, 2, 53, 106, 461, 922, 24433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48856 and 48866. The biggest common factor number is the GCF number.
So the greatest common factor 48856 and 48866 is 2.

Also check out the Least Common Multiple of 48856 and 48866