What is the Greatest Common Factor of 4416 and 4424?

Greatest common factor (GCF) of 4416 and 4424 is 8.

GCF(4416,4424) = 8

We will now calculate the prime factors of 4416 and 4424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4416 and 4424.

How to find the GCF of 4416 and 4424?

We will first find the prime factorization of 4416 and 4424. After we will calculate the factors of 4416 and 4424 and find the biggest common factor number .

Step-1: Prime Factorization of 4416

Prime factors of 4416 are 2, 3, 23. Prime factorization of 4416 in exponential form is:

4416 = 2⁶ × 3¹ × 23¹

Step-2: Prime Factorization of 4424

Prime factors of 4424 are 2, 7, 79. Prime factorization of 4424 in exponential form is:

4424 = 2³ × 7¹ × 79¹

Step-3: Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208

Step-4: Factors of 4424

List of positive integer factors of 4424 that divides 4416 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4416 and 4424. The biggest common factor number is the GCF number.
So the greatest common factor 4416 and 4424 is 8.

Also check out the Least Common Multiple of 4416 and 4424