What is the Greatest Common Factor of 45441 and 45449?

Greatest common factor (GCF) of 45441 and 45449 is 1.

GCF(45441,45449) = 1

We will now calculate the prime factors of 45441 and 45449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45441 and 45449.

How to find the GCF of 45441 and 45449?

We will first find the prime factorization of 45441 and 45449. After we will calculate the factors of 45441 and 45449 and find the biggest common factor number .

Step-1: Prime Factorization of 45441

Prime factors of 45441 are 3, 11, 17. Prime factorization of 45441 in exponential form is:

45441 = 3⁵ × 11¹ × 17¹

Step-2: Prime Factorization of 45449

Prime factors of 45449 are 47, 967. Prime factorization of 45449 in exponential form is:

45449 = 47¹ × 967¹

Step-3: Factors of 45441

List of positive integer factors of 45441 that divides 45441 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 81, 99, 153, 187, 243, 297, 459, 561, 891, 1377, 1683, 2673, 4131, 5049, 15147

Step-4: Factors of 45449

List of positive integer factors of 45449 that divides 45441 without a remainder.

1, 47, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45441 and 45449. The biggest common factor number is the GCF number.
So the greatest common factor 45441 and 45449 is 1.

Also check out the Least Common Multiple of 45441 and 45449