What is the Greatest Common Factor of 46795 and 46805?

Greatest common factor (GCF) of 46795 and 46805 is 5.

GCF(46795,46805) = 5

We will now calculate the prime factors of 46795 and 46805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46795 and 46805.

How to find the GCF of 46795 and 46805?

We will first find the prime factorization of 46795 and 46805. After we will calculate the factors of 46795 and 46805 and find the biggest common factor number .

Step-1: Prime Factorization of 46795

Prime factors of 46795 are 5, 7, 191. Prime factorization of 46795 in exponential form is:

46795 = 5¹ × 7² × 191¹

Step-2: 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-3: Factors of 46795

List of positive integer factors of 46795 that divides 46795 without a remainder.

1, 5, 7, 35, 49, 191, 245, 955, 1337, 6685, 9359

Step-4: Factors of 46805

List of positive integer factors of 46805 that divides 46795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46795 and 46805. The biggest common factor number is the GCF number.
So the greatest common factor 46795 and 46805 is 5.

Also check out the Least Common Multiple of 46795 and 46805