What is the Greatest Common Factor of 45441 and 45457?

Greatest common factor (GCF) of 45441 and 45457 is 1.

GCF(45441,45457) = 1

We will now calculate the prime factors of 45441 and 45457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45441 and 45457.

How to find the GCF of 45441 and 45457?

We will first find the prime factorization of 45441 and 45457. After we will calculate the factors of 45441 and 45457 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 45457

Prime factors of 45457 are 131, 347. Prime factorization of 45457 in exponential form is:

45457 = 131¹ × 347¹

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 45457

List of positive integer factors of 45457 that divides 45441 without a remainder.

1, 131, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45441 and 45457. The biggest common factor number is the GCF number.
So the greatest common factor 45441 and 45457 is 1.

Also check out the Least Common Multiple of 45441 and 45457