What is the Greatest Common Factor of 46496 and 46509?

Greatest common factor (GCF) of 46496 and 46509 is 1.

GCF(46496,46509) = 1

We will now calculate the prime factors of 46496 and 46509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46496 and 46509.

How to find the GCF of 46496 and 46509?

We will first find the prime factorization of 46496 and 46509. After we will calculate the factors of 46496 and 46509 and find the biggest common factor number .

Step-1: Prime Factorization of 46496

Prime factors of 46496 are 2, 1453. Prime factorization of 46496 in exponential form is:

46496 = 2⁵ × 1453¹

Step-2: 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-3: Factors of 46496

List of positive integer factors of 46496 that divides 46496 without a remainder.

1, 2, 4, 8, 16, 32, 1453, 2906, 5812, 11624, 23248

Step-4: Factors of 46509

List of positive integer factors of 46509 that divides 46496 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46496 and 46509. The biggest common factor number is the GCF number.
So the greatest common factor 46496 and 46509 is 1.

Also check out the Least Common Multiple of 46496 and 46509