What is the Greatest Common Factor of 49456 and 49472?

Greatest common factor (GCF) of 49456 and 49472 is 16.

GCF(49456,49472) = 16

We will now calculate the prime factors of 49456 and 49472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49456 and 49472.

How to find the GCF of 49456 and 49472?

We will first find the prime factorization of 49456 and 49472. After we will calculate the factors of 49456 and 49472 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 49472

Prime factors of 49472 are 2, 773. Prime factorization of 49472 in exponential form is:

49472 = 2⁶ × 773¹

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 49472

List of positive integer factors of 49472 that divides 49456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 773, 1546, 3092, 6184, 12368, 24736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49456 and 49472. The biggest common factor number is the GCF number.
So the greatest common factor 49456 and 49472 is 16.

Also check out the Least Common Multiple of 49456 and 49472