What is the Greatest Common Factor of 46100 and 46108?

Greatest common factor (GCF) of 46100 and 46108 is 4.

GCF(46100,46108) = 4

We will now calculate the prime factors of 46100 and 46108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46100 and 46108.

How to find the GCF of 46100 and 46108?

We will first find the prime factorization of 46100 and 46108. After we will calculate the factors of 46100 and 46108 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 46108

Prime factors of 46108 are 2, 11527. Prime factorization of 46108 in exponential form is:

46108 = 2² × 11527¹

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 46108

List of positive integer factors of 46108 that divides 46100 without a remainder.

1, 2, 4, 11527, 23054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46100 and 46108. The biggest common factor number is the GCF number.
So the greatest common factor 46100 and 46108 is 4.

Also check out the Least Common Multiple of 46100 and 46108