What is the Greatest Common Factor of 44003 and 44022?

Greatest common factor (GCF) of 44003 and 44022 is 1.

GCF(44003,44022) = 1

We will now calculate the prime factors of 44003 and 44022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44003 and 44022.

How to find the GCF of 44003 and 44022?

We will first find the prime factorization of 44003 and 44022. After we will calculate the factors of 44003 and 44022 and find the biggest common factor number .

Step-1: Prime Factorization of 44003

Prime factors of 44003 are 79, 557. Prime factorization of 44003 in exponential form is:

44003 = 79¹ × 557¹

Step-2: Prime Factorization of 44022

Prime factors of 44022 are 2, 3, 11, 23, 29. Prime factorization of 44022 in exponential form is:

44022 = 2¹ × 3¹ × 11¹ × 23¹ × 29¹

Step-3: Factors of 44003

List of positive integer factors of 44003 that divides 44003 without a remainder.

1, 79, 557

Step-4: Factors of 44022

List of positive integer factors of 44022 that divides 44003 without a remainder.

1, 2, 3, 6, 11, 22, 23, 29, 33, 46, 58, 66, 69, 87, 138, 174, 253, 319, 506, 638, 667, 759, 957, 1334, 1518, 1914, 2001, 4002, 7337, 14674, 22011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44003 and 44022. The biggest common factor number is the GCF number.
So the greatest common factor 44003 and 44022 is 1.

Also check out the Least Common Multiple of 44003 and 44022