What is the Greatest Common Factor of 45431 and 45441?

Greatest common factor (GCF) of 45431 and 45441 is 1.

GCF(45431,45441) = 1

We will now calculate the prime factors of 45431 and 45441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45431 and 45441.

How to find the GCF of 45431 and 45441?

We will first find the prime factorization of 45431 and 45441. After we will calculate the factors of 45431 and 45441 and find the biggest common factor number .

Step-1: Prime Factorization of 45431

Prime factors of 45431 are 181, 251. Prime factorization of 45431 in exponential form is:

45431 = 181¹ × 251¹

Step-2: 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-3: Factors of 45431

List of positive integer factors of 45431 that divides 45431 without a remainder.

1, 181, 251

Step-4: Factors of 45441

List of positive integer factors of 45441 that divides 45431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45431 and 45441. The biggest common factor number is the GCF number.
So the greatest common factor 45431 and 45441 is 1.

Also check out the Least Common Multiple of 45431 and 45441