What is the Greatest Common Factor of 4464 and 4468?

Greatest common factor (GCF) of 4464 and 4468 is 4.

GCF(4464,4468) = 4

We will now calculate the prime factors of 4464 and 4468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4464 and 4468.

How to find the GCF of 4464 and 4468?

We will first find the prime factorization of 4464 and 4468. After we will calculate the factors of 4464 and 4468 and find the biggest common factor number .

Step-1: Prime Factorization of 4464

Prime factors of 4464 are 2, 3, 31. Prime factorization of 4464 in exponential form is:

4464 = 2⁴ × 3² × 31¹

Step-2: Prime Factorization of 4468

Prime factors of 4468 are 2, 1117. Prime factorization of 4468 in exponential form is:

4468 = 2² × 1117¹

Step-3: Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232

Step-4: Factors of 4468

List of positive integer factors of 4468 that divides 4464 without a remainder.

1, 2, 4, 1117, 2234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4464 and 4468. The biggest common factor number is the GCF number.
So the greatest common factor 4464 and 4468 is 4.

Also check out the Least Common Multiple of 4464 and 4468