What is the Greatest Common Factor of 46509 and 46526?

Greatest common factor (GCF) of 46509 and 46526 is 1.

GCF(46509,46526) = 1

We will now calculate the prime factors of 46509 and 46526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46509 and 46526.

How to find the GCF of 46509 and 46526?

We will first find the prime factorization of 46509 and 46526. After we will calculate the factors of 46509 and 46526 and find the biggest common factor number .

Step-1: Prime Factorization of 46509

Prime factors of 46509 are 3, 37, 419. Prime factorization of 46509 in exponential form is:

46509 = 3¹ × 37¹ × 419¹

Step-2: Prime Factorization of 46526

Prime factors of 46526 are 2, 43, 541. Prime factorization of 46526 in exponential form is:

46526 = 2¹ × 43¹ × 541¹

Step-3: Factors of 46509

List of positive integer factors of 46509 that divides 46509 without a remainder.

1, 3, 37, 111, 419, 1257, 15503

Step-4: Factors of 46526

List of positive integer factors of 46526 that divides 46509 without a remainder.

1, 2, 43, 86, 541, 1082, 23263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46509 and 46526. The biggest common factor number is the GCF number.
So the greatest common factor 46509 and 46526 is 1.

Also check out the Least Common Multiple of 46509 and 46526