What is the Greatest Common Factor of 46509 and 46514?

Greatest common factor (GCF) of 46509 and 46514 is 1.

GCF(46509,46514) = 1

We will now calculate the prime factors of 46509 and 46514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46509 and 46514.

How to find the GCF of 46509 and 46514?

We will first find the prime factorization of 46509 and 46514. After we will calculate the factors of 46509 and 46514 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 46514

Prime factors of 46514 are 2, 13, 1789. Prime factorization of 46514 in exponential form is:

46514 = 2¹ × 13¹ × 1789¹

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 46514

List of positive integer factors of 46514 that divides 46509 without a remainder.

1, 2, 13, 26, 1789, 3578, 23257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46509 and 46514. The biggest common factor number is the GCF number.
So the greatest common factor 46509 and 46514 is 1.

Also check out the Least Common Multiple of 46509 and 46514