What is the Greatest Common Factor of 44005 and 44009?

Greatest common factor (GCF) of 44005 and 44009 is 1.

GCF(44005,44009) = 1

We will now calculate the prime factors of 44005 and 44009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44005 and 44009.

How to find the GCF of 44005 and 44009?

We will first find the prime factorization of 44005 and 44009. After we will calculate the factors of 44005 and 44009 and find the biggest common factor number .

Step-1: Prime Factorization of 44005

Prime factors of 44005 are 5, 13, 677. Prime factorization of 44005 in exponential form is:

44005 = 5¹ × 13¹ × 677¹

Step-2: Prime Factorization of 44009

Prime factors of 44009 are 7, 6287. Prime factorization of 44009 in exponential form is:

44009 = 7¹ × 6287¹

Step-3: Factors of 44005

List of positive integer factors of 44005 that divides 44005 without a remainder.

1, 5, 13, 65, 677, 3385, 8801

Step-4: Factors of 44009

List of positive integer factors of 44009 that divides 44005 without a remainder.

1, 7, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44005 and 44009. The biggest common factor number is the GCF number.
So the greatest common factor 44005 and 44009 is 1.

Also check out the Least Common Multiple of 44005 and 44009