What is the Greatest Common Factor of 46100 and 46115?

Greatest common factor (GCF) of 46100 and 46115 is 5.

GCF(46100,46115) = 5

We will now calculate the prime factors of 46100 and 46115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46100 and 46115.

How to find the GCF of 46100 and 46115?

We will first find the prime factorization of 46100 and 46115. After we will calculate the factors of 46100 and 46115 and find the biggest common factor number .

Step-1: Prime Factorization of 46100

Prime factors of 46100 are 2, 5, 461. Prime factorization of 46100 in exponential form is:

46100 = 2² × 5² × 461¹

Step-2: Prime Factorization of 46115

Prime factors of 46115 are 5, 23, 401. Prime factorization of 46115 in exponential form is:

46115 = 5¹ × 23¹ × 401¹

Step-3: Factors of 46100

List of positive integer factors of 46100 that divides 46100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 461, 922, 1844, 2305, 4610, 9220, 11525, 23050

Step-4: Factors of 46115

List of positive integer factors of 46115 that divides 46100 without a remainder.

1, 5, 23, 115, 401, 2005, 9223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46100 and 46115. The biggest common factor number is the GCF number.
So the greatest common factor 46100 and 46115 is 5.

Also check out the Least Common Multiple of 46100 and 46115