What is the Greatest Common Factor of 46505 and 46509?

Greatest common factor (GCF) of 46505 and 46509 is 1.

GCF(46505,46509) = 1

We will now calculate the prime factors of 46505 and 46509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46505 and 46509.

How to find the GCF of 46505 and 46509?

We will first find the prime factorization of 46505 and 46509. After we will calculate the factors of 46505 and 46509 and find the biggest common factor number .

Step-1: Prime Factorization of 46505

Prime factors of 46505 are 5, 71, 131. Prime factorization of 46505 in exponential form is:

46505 = 5¹ × 71¹ × 131¹

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 46505

List of positive integer factors of 46505 that divides 46505 without a remainder.

1, 5, 71, 131, 355, 655, 9301

Step-4: Factors of 46509

List of positive integer factors of 46509 that divides 46505 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46505 and 46509. The biggest common factor number is the GCF number.
So the greatest common factor 46505 and 46509 is 1.

Also check out the Least Common Multiple of 46505 and 46509