What is the Greatest Common Factor of 46543 and 46559?

Greatest common factor (GCF) of 46543 and 46559 is 1.

GCF(46543,46559) = 1

We will now calculate the prime factors of 46543 and 46559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46543 and 46559.

How to find the GCF of 46543 and 46559?

We will first find the prime factorization of 46543 and 46559. After we will calculate the factors of 46543 and 46559 and find the biggest common factor number .

Step-1: Prime Factorization of 46543

Prime factors of 46543 are 7, 61, 109. Prime factorization of 46543 in exponential form is:

46543 = 7¹ × 61¹ × 109¹

Step-2: Prime Factorization of 46559

Prime factors of 46559 are 46559. Prime factorization of 46559 in exponential form is:

46559 = 46559¹

Step-3: Factors of 46543

List of positive integer factors of 46543 that divides 46543 without a remainder.

1, 7, 61, 109, 427, 763, 6649

Step-4: Factors of 46559

List of positive integer factors of 46559 that divides 46543 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46543 and 46559. The biggest common factor number is the GCF number.
So the greatest common factor 46543 and 46559 is 1.

Also check out the Least Common Multiple of 46543 and 46559