What is the Greatest Common Factor of 5448 and 5468?

Greatest common factor (GCF) of 5448 and 5468 is 4.

GCF(5448,5468) = 4

We will now calculate the prime factors of 5448 and 5468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5448 and 5468.

How to find the GCF of 5448 and 5468?

We will first find the prime factorization of 5448 and 5468. After we will calculate the factors of 5448 and 5468 and find the biggest common factor number .

Step-1: Prime Factorization of 5448

Prime factors of 5448 are 2, 3, 227. Prime factorization of 5448 in exponential form is:

5448 = 2³ × 3¹ × 227¹

Step-2: Prime Factorization of 5468

Prime factors of 5468 are 2, 1367. Prime factorization of 5468 in exponential form is:

5468 = 2² × 1367¹

Step-3: Factors of 5448

List of positive integer factors of 5448 that divides 5448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724

Step-4: Factors of 5468

List of positive integer factors of 5468 that divides 5448 without a remainder.

1, 2, 4, 1367, 2734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5448 and 5468. The biggest common factor number is the GCF number.
So the greatest common factor 5448 and 5468 is 4.

Also check out the Least Common Multiple of 5448 and 5468