What is the Greatest Common Factor of 44325 and 44341?

Greatest common factor (GCF) of 44325 and 44341 is 1.

GCF(44325,44341) = 1

We will now calculate the prime factors of 44325 and 44341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44325 and 44341.

How to find the GCF of 44325 and 44341?

We will first find the prime factorization of 44325 and 44341. After we will calculate the factors of 44325 and 44341 and find the biggest common factor number .

Step-1: Prime Factorization of 44325

Prime factors of 44325 are 3, 5, 197. Prime factorization of 44325 in exponential form is:

44325 = 3² × 5² × 197¹

Step-2: Prime Factorization of 44341

Prime factors of 44341 are 11, 29, 139. Prime factorization of 44341 in exponential form is:

44341 = 11¹ × 29¹ × 139¹

Step-3: Factors of 44325

List of positive integer factors of 44325 that divides 44325 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 197, 225, 591, 985, 1773, 2955, 4925, 8865, 14775

Step-4: Factors of 44341

List of positive integer factors of 44341 that divides 44325 without a remainder.

1, 11, 29, 139, 319, 1529, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44325 and 44341. The biggest common factor number is the GCF number.
So the greatest common factor 44325 and 44341 is 1.

Also check out the Least Common Multiple of 44325 and 44341