What is the Greatest Common Factor of 44224 and 44229?

Greatest common factor (GCF) of 44224 and 44229 is 1.

GCF(44224,44229) = 1

We will now calculate the prime factors of 44224 and 44229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44224 and 44229.

How to find the GCF of 44224 and 44229?

We will first find the prime factorization of 44224 and 44229. After we will calculate the factors of 44224 and 44229 and find the biggest common factor number .

Step-1: Prime Factorization of 44224

Prime factors of 44224 are 2, 691. Prime factorization of 44224 in exponential form is:

44224 = 2⁶ × 691¹

Step-2: Prime Factorization of 44229

Prime factors of 44229 are 3, 23, 641. Prime factorization of 44229 in exponential form is:

44229 = 3¹ × 23¹ × 641¹

Step-3: Factors of 44224

List of positive integer factors of 44224 that divides 44224 without a remainder.

1, 2, 4, 8, 16, 32, 64, 691, 1382, 2764, 5528, 11056, 22112

Step-4: Factors of 44229

List of positive integer factors of 44229 that divides 44224 without a remainder.

1, 3, 23, 69, 641, 1923, 14743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44224 and 44229. The biggest common factor number is the GCF number.
So the greatest common factor 44224 and 44229 is 1.

Also check out the Least Common Multiple of 44224 and 44229