What is the Greatest Common Factor of 45441 and 45458?

Greatest common factor (GCF) of 45441 and 45458 is 17.

GCF(45441,45458) = 17

We will now calculate the prime factors of 45441 and 45458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45441 and 45458.

How to find the GCF of 45441 and 45458?

We will first find the prime factorization of 45441 and 45458. After we will calculate the factors of 45441 and 45458 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 45458

Prime factors of 45458 are 2, 7, 17, 191. Prime factorization of 45458 in exponential form is:

45458 = 2¹ × 7¹ × 17¹ × 191¹

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 45458

List of positive integer factors of 45458 that divides 45441 without a remainder.

1, 2, 7, 14, 17, 34, 119, 191, 238, 382, 1337, 2674, 3247, 6494, 22729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45441 and 45458. The biggest common factor number is the GCF number.
So the greatest common factor 45441 and 45458 is 17.

Also check out the Least Common Multiple of 45441 and 45458