What is the Greatest Common Factor of 4424 and 4444?

Greatest common factor (GCF) of 4424 and 4444 is 4.

GCF(4424,4444) = 4

We will now calculate the prime factors of 4424 and 4444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4424 and 4444.

How to find the GCF of 4424 and 4444?

We will first find the prime factorization of 4424 and 4444. After we will calculate the factors of 4424 and 4444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4444

Prime factors of 4444 are 2, 11, 101. Prime factorization of 4444 in exponential form is:

4444 = 2² × 11¹ × 101¹

Step-3: Factors of 4424

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

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

Step-4: Factors of 4444

List of positive integer factors of 4444 that divides 4424 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4424 and 4444. The biggest common factor number is the GCF number.
So the greatest common factor 4424 and 4444 is 4.

Also check out the Least Common Multiple of 4424 and 4444