What is the Greatest Common Factor of 44429 and 44440?

Greatest common factor (GCF) of 44429 and 44440 is 11.

GCF(44429,44440) = 11

We will now calculate the prime factors of 44429 and 44440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44429 and 44440.

How to find the GCF of 44429 and 44440?

We will first find the prime factorization of 44429 and 44440. After we will calculate the factors of 44429 and 44440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44440

Prime factors of 44440 are 2, 5, 11, 101. Prime factorization of 44440 in exponential form is:

44440 = 2³ × 5¹ × 11¹ × 101¹

Step-3: Factors of 44429

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

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

Step-4: Factors of 44440

List of positive integer factors of 44440 that divides 44429 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 101, 110, 202, 220, 404, 440, 505, 808, 1010, 1111, 2020, 2222, 4040, 4444, 5555, 8888, 11110, 22220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44429 and 44440. The biggest common factor number is the GCF number.
So the greatest common factor 44429 and 44440 is 11.

Also check out the Least Common Multiple of 44429 and 44440