What is the Greatest Common Factor of 46805 and 46809?

Greatest common factor (GCF) of 46805 and 46809 is 1.

GCF(46805,46809) = 1

We will now calculate the prime factors of 46805 and 46809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46805 and 46809.

How to find the GCF of 46805 and 46809?

We will first find the prime factorization of 46805 and 46809. After we will calculate the factors of 46805 and 46809 and find the biggest common factor number .

Step-1: Prime Factorization of 46805

Prime factors of 46805 are 5, 11, 23, 37. Prime factorization of 46805 in exponential form is:

46805 = 5¹ × 11¹ × 23¹ × 37¹

Step-2: Prime Factorization of 46809

Prime factors of 46809 are 3, 7, 743. Prime factorization of 46809 in exponential form is:

46809 = 3² × 7¹ × 743¹

Step-3: Factors of 46805

List of positive integer factors of 46805 that divides 46805 without a remainder.

1, 5, 11, 23, 37, 55, 115, 185, 253, 407, 851, 1265, 2035, 4255, 9361

Step-4: Factors of 46809

List of positive integer factors of 46809 that divides 46805 without a remainder.

1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46805 and 46809. The biggest common factor number is the GCF number.
So the greatest common factor 46805 and 46809 is 1.

Also check out the Least Common Multiple of 46805 and 46809