What is the Greatest Common Factor of 49448 and 49456?

Greatest common factor (GCF) of 49448 and 49456 is 8.

GCF(49448,49456) = 8

We will now calculate the prime factors of 49448 and 49456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49448 and 49456.

How to find the GCF of 49448 and 49456?

We will first find the prime factorization of 49448 and 49456. After we will calculate the factors of 49448 and 49456 and find the biggest common factor number .

Step-1: Prime Factorization of 49448

Prime factors of 49448 are 2, 7, 883. Prime factorization of 49448 in exponential form is:

49448 = 2³ × 7¹ × 883¹

Step-2: 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-3: Factors of 49448

List of positive integer factors of 49448 that divides 49448 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 883, 1766, 3532, 6181, 7064, 12362, 24724

Step-4: Factors of 49456

List of positive integer factors of 49456 that divides 49448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49448 and 49456. The biggest common factor number is the GCF number.
So the greatest common factor 49448 and 49456 is 8.

Also check out the Least Common Multiple of 49448 and 49456