What is the Greatest Common Factor of 46509 and 46524?

Greatest common factor (GCF) of 46509 and 46524 is 3.

GCF(46509,46524) = 3

We will now calculate the prime factors of 46509 and 46524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46509 and 46524.

How to find the GCF of 46509 and 46524?

We will first find the prime factorization of 46509 and 46524. After we will calculate the factors of 46509 and 46524 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 46524

Prime factors of 46524 are 2, 3, 3877. Prime factorization of 46524 in exponential form is:

46524 = 2² × 3¹ × 3877¹

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 46524

List of positive integer factors of 46524 that divides 46509 without a remainder.

1, 2, 3, 4, 6, 12, 3877, 7754, 11631, 15508, 23262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46509 and 46524. The biggest common factor number is the GCF number.
So the greatest common factor 46509 and 46524 is 3.

Also check out the Least Common Multiple of 46509 and 46524