What is the Greatest Common Factor of 49456 and 49466?

Greatest common factor (GCF) of 49456 and 49466 is 2.

GCF(49456,49466) = 2

We will now calculate the prime factors of 49456 and 49466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49456 and 49466.

How to find the GCF of 49456 and 49466?

We will first find the prime factorization of 49456 and 49466. After we will calculate the factors of 49456 and 49466 and find the biggest common factor number .

Step-1: Prime Factorization of 49456

Prime factors of 49456 are 2, 11, 281. Prime factorization of 49456 in exponential form is:

49456 = 2⁴ × 11¹ × 281¹

Step-2: Prime Factorization of 49466

Prime factors of 49466 are 2, 24733. Prime factorization of 49466 in exponential form is:

49466 = 2¹ × 24733¹

Step-3: Factors of 49456

List of positive integer factors of 49456 that divides 49456 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 281, 562, 1124, 2248, 3091, 4496, 6182, 12364, 24728

Step-4: Factors of 49466

List of positive integer factors of 49466 that divides 49456 without a remainder.

1, 2, 24733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49456 and 49466. The biggest common factor number is the GCF number.
So the greatest common factor 49456 and 49466 is 2.

Also check out the Least Common Multiple of 49456 and 49466