What is the Greatest Common Factor of 46109 and 46123?

Greatest common factor (GCF) of 46109 and 46123 is 7.

GCF(46109,46123) = 7

We will now calculate the prime factors of 46109 and 46123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46109 and 46123.

How to find the GCF of 46109 and 46123?

We will first find the prime factorization of 46109 and 46123. After we will calculate the factors of 46109 and 46123 and find the biggest common factor number .

Step-1: Prime Factorization of 46109

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

46109 = 7² × 941¹

Step-2: Prime Factorization of 46123

Prime factors of 46123 are 7, 11, 599. Prime factorization of 46123 in exponential form is:

46123 = 7¹ × 11¹ × 599¹

Step-3: Factors of 46109

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

1, 7, 49, 941, 6587

Step-4: Factors of 46123

List of positive integer factors of 46123 that divides 46109 without a remainder.

1, 7, 11, 77, 599, 4193, 6589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46109 and 46123. The biggest common factor number is the GCF number.
So the greatest common factor 46109 and 46123 is 7.

Also check out the Least Common Multiple of 46109 and 46123