What is the Greatest Common Factor of 46100 and 46109?

Greatest common factor (GCF) of 46100 and 46109 is 1.

GCF(46100,46109) = 1

We will now calculate the prime factors of 46100 and 46109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46100 and 46109.

How to find the GCF of 46100 and 46109?

We will first find the prime factorization of 46100 and 46109. After we will calculate the factors of 46100 and 46109 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 46109

Prime factors of 46109 are 7, 941. Prime factorization of 46109 in exponential form is:

46109 = 7² × 941¹

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 46109

List of positive integer factors of 46109 that divides 46100 without a remainder.

1, 7, 49, 941, 6587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46100 and 46109. The biggest common factor number is the GCF number.
So the greatest common factor 46100 and 46109 is 1.

Also check out the Least Common Multiple of 46100 and 46109