What is the Greatest Common Factor of 4460 and 4464?

Greatest common factor (GCF) of 4460 and 4464 is 4.

GCF(4460,4464) = 4

We will now calculate the prime factors of 4460 and 4464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4460 and 4464.

How to find the GCF of 4460 and 4464?

We will first find the prime factorization of 4460 and 4464. After we will calculate the factors of 4460 and 4464 and find the biggest common factor number .

Step-1: Prime Factorization of 4460

Prime factors of 4460 are 2, 5, 223. Prime factorization of 4460 in exponential form is:

4460 = 2² × 5¹ × 223¹

Step-2: 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-3: Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230

Step-4: Factors of 4464

List of positive integer factors of 4464 that divides 4460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4460 and 4464. The biggest common factor number is the GCF number.
So the greatest common factor 4460 and 4464 is 4.

Also check out the Least Common Multiple of 4460 and 4464