What is the Greatest Common Factor of 46805 and 46823?

Greatest common factor (GCF) of 46805 and 46823 is 1.

GCF(46805,46823) = 1

We will now calculate the prime factors of 46805 and 46823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46805 and 46823.

How to find the GCF of 46805 and 46823?

We will first find the prime factorization of 46805 and 46823. After we will calculate the factors of 46805 and 46823 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 46823

Prime factors of 46823 are 7, 6689. Prime factorization of 46823 in exponential form is:

46823 = 7¹ × 6689¹

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 46823

List of positive integer factors of 46823 that divides 46805 without a remainder.

1, 7, 6689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46805 and 46823. The biggest common factor number is the GCF number.
So the greatest common factor 46805 and 46823 is 1.

Also check out the Least Common Multiple of 46805 and 46823