What is the Greatest Common Factor of 44023 and 44042?

Greatest common factor (GCF) of 44023 and 44042 is 19.

GCF(44023,44042) = 19

We will now calculate the prime factors of 44023 and 44042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44023 and 44042.

How to find the GCF of 44023 and 44042?

We will first find the prime factorization of 44023 and 44042. After we will calculate the factors of 44023 and 44042 and find the biggest common factor number .

Step-1: Prime Factorization of 44023

Prime factors of 44023 are 7, 19, 331. Prime factorization of 44023 in exponential form is:

44023 = 7¹ × 19¹ × 331¹

Step-2: Prime Factorization of 44042

Prime factors of 44042 are 2, 19, 61. Prime factorization of 44042 in exponential form is:

44042 = 2¹ × 19² × 61¹

Step-3: Factors of 44023

List of positive integer factors of 44023 that divides 44023 without a remainder.

1, 7, 19, 133, 331, 2317, 6289

Step-4: Factors of 44042

List of positive integer factors of 44042 that divides 44023 without a remainder.

1, 2, 19, 38, 61, 122, 361, 722, 1159, 2318, 22021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44023 and 44042. The biggest common factor number is the GCF number.
So the greatest common factor 44023 and 44042 is 19.

Also check out the Least Common Multiple of 44023 and 44042