What is the Greatest Common Factor of 46529 and 46543?

Greatest common factor (GCF) of 46529 and 46543 is 7.

GCF(46529,46543) = 7

We will now calculate the prime factors of 46529 and 46543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46529 and 46543.

How to find the GCF of 46529 and 46543?

We will first find the prime factorization of 46529 and 46543. After we will calculate the factors of 46529 and 46543 and find the biggest common factor number .

Step-1: Prime Factorization of 46529

Prime factors of 46529 are 7, 17, 23. Prime factorization of 46529 in exponential form is:

46529 = 7¹ × 17² × 23¹

Step-2: 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-3: Factors of 46529

List of positive integer factors of 46529 that divides 46529 without a remainder.

1, 7, 17, 23, 119, 161, 289, 391, 2023, 2737, 6647

Step-4: Factors of 46543

List of positive integer factors of 46543 that divides 46529 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46529 and 46543. The biggest common factor number is the GCF number.
So the greatest common factor 46529 and 46543 is 7.

Also check out the Least Common Multiple of 46529 and 46543