What is the Greatest Common Factor of 44416 and 44429?

Greatest common factor (GCF) of 44416 and 44429 is 1.

GCF(44416,44429) = 1

We will now calculate the prime factors of 44416 and 44429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44416 and 44429.

How to find the GCF of 44416 and 44429?

We will first find the prime factorization of 44416 and 44429. After we will calculate the factors of 44416 and 44429 and find the biggest common factor number .

Step-1: Prime Factorization of 44416

Prime factors of 44416 are 2, 347. Prime factorization of 44416 in exponential form is:

44416 = 2⁷ × 347¹

Step-2: Prime Factorization of 44429

Prime factors of 44429 are 7, 11, 577. Prime factorization of 44429 in exponential form is:

44429 = 7¹ × 11¹ × 577¹

Step-3: Factors of 44416

List of positive integer factors of 44416 that divides 44416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 347, 694, 1388, 2776, 5552, 11104, 22208

Step-4: Factors of 44429

List of positive integer factors of 44429 that divides 44416 without a remainder.

1, 7, 11, 77, 577, 4039, 6347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44416 and 44429. The biggest common factor number is the GCF number.
So the greatest common factor 44416 and 44429 is 1.

Also check out the Least Common Multiple of 44416 and 44429