What is the Greatest Common Factor of 46529 and 46539?

Greatest common factor (GCF) of 46529 and 46539 is 1.

GCF(46529,46539) = 1

We will now calculate the prime factors of 46529 and 46539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46529 and 46539.

How to find the GCF of 46529 and 46539?

We will first find the prime factorization of 46529 and 46539. After we will calculate the factors of 46529 and 46539 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 46539

Prime factors of 46539 are 3, 5171. Prime factorization of 46539 in exponential form is:

46539 = 3² × 5171¹

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 46539

List of positive integer factors of 46539 that divides 46529 without a remainder.

1, 3, 9, 5171, 15513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46529 and 46539. The biggest common factor number is the GCF number.
So the greatest common factor 46529 and 46539 is 1.

Also check out the Least Common Multiple of 46529 and 46539