What is the Greatest Common Factor of 4464 and 4484?

Greatest common factor (GCF) of 4464 and 4484 is 4.

GCF(4464,4484) = 4

We will now calculate the prime factors of 4464 and 4484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4464 and 4484.

How to find the GCF of 4464 and 4484?

We will first find the prime factorization of 4464 and 4484. After we will calculate the factors of 4464 and 4484 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 4484

Prime factors of 4484 are 2, 19, 59. Prime factorization of 4484 in exponential form is:

4484 = 2² × 19¹ × 59¹

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 4484

List of positive integer factors of 4484 that divides 4464 without a remainder.

1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4464 and 4484. The biggest common factor number is the GCF number.
So the greatest common factor 4464 and 4484 is 4.

Also check out the Least Common Multiple of 4464 and 4484