What is the Greatest Common Factor of 49456 and 49467?

Greatest common factor (GCF) of 49456 and 49467 is 11.

GCF(49456,49467) = 11

We will now calculate the prime factors of 49456 and 49467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49456 and 49467.

How to find the GCF of 49456 and 49467?

We will first find the prime factorization of 49456 and 49467. After we will calculate the factors of 49456 and 49467 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 49467

Prime factors of 49467 are 3, 11, 1499. Prime factorization of 49467 in exponential form is:

49467 = 3¹ × 11¹ × 1499¹

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 49467

List of positive integer factors of 49467 that divides 49456 without a remainder.

1, 3, 11, 33, 1499, 4497, 16489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49456 and 49467. The biggest common factor number is the GCF number.
So the greatest common factor 49456 and 49467 is 11.

Also check out the Least Common Multiple of 49456 and 49467