What is the Greatest Common Factor of 46449 and 46453?

Greatest common factor (GCF) of 46449 and 46453 is 1.

GCF(46449,46453) = 1

We will now calculate the prime factors of 46449 and 46453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46449 and 46453.

How to find the GCF of 46449 and 46453?

We will first find the prime factorization of 46449 and 46453. After we will calculate the factors of 46449 and 46453 and find the biggest common factor number .

Step-1: Prime Factorization of 46449

Prime factors of 46449 are 3, 13, 397. Prime factorization of 46449 in exponential form is:

46449 = 3² × 13¹ × 397¹

Step-2: Prime Factorization of 46453

Prime factors of 46453 are 11, 41, 103. Prime factorization of 46453 in exponential form is:

46453 = 11¹ × 41¹ × 103¹

Step-3: Factors of 46449

List of positive integer factors of 46449 that divides 46449 without a remainder.

1, 3, 9, 13, 39, 117, 397, 1191, 3573, 5161, 15483

Step-4: Factors of 46453

List of positive integer factors of 46453 that divides 46449 without a remainder.

1, 11, 41, 103, 451, 1133, 4223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46449 and 46453. The biggest common factor number is the GCF number.
So the greatest common factor 46449 and 46453 is 1.

Also check out the Least Common Multiple of 46449 and 46453