What is the Greatest Common Factor of 44465 and 44484?

Greatest common factor (GCF) of 44465 and 44484 is 1.

GCF(44465,44484) = 1

We will now calculate the prime factors of 44465 and 44484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44465 and 44484.

How to find the GCF of 44465 and 44484?

We will first find the prime factorization of 44465 and 44484. After we will calculate the factors of 44465 and 44484 and find the biggest common factor number .

Step-1: Prime Factorization of 44465

Prime factors of 44465 are 5, 8893. Prime factorization of 44465 in exponential form is:

44465 = 5¹ × 8893¹

Step-2: Prime Factorization of 44484

Prime factors of 44484 are 2, 3, 11, 337. Prime factorization of 44484 in exponential form is:

44484 = 2² × 3¹ × 11¹ × 337¹

Step-3: Factors of 44465

List of positive integer factors of 44465 that divides 44465 without a remainder.

1, 5, 8893

Step-4: Factors of 44484

List of positive integer factors of 44484 that divides 44465 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 337, 674, 1011, 1348, 2022, 3707, 4044, 7414, 11121, 14828, 22242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44465 and 44484. The biggest common factor number is the GCF number.
So the greatest common factor 44465 and 44484 is 1.

Also check out the Least Common Multiple of 44465 and 44484