What is the Greatest Common Factor of 46109 and 46120?

Greatest common factor (GCF) of 46109 and 46120 is 1.

GCF(46109,46120) = 1

We will now calculate the prime factors of 46109 and 46120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46109 and 46120.

How to find the GCF of 46109 and 46120?

We will first find the prime factorization of 46109 and 46120. After we will calculate the factors of 46109 and 46120 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 46120

Prime factors of 46120 are 2, 5, 1153. Prime factorization of 46120 in exponential form is:

46120 = 2³ × 5¹ × 1153¹

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 46120

List of positive integer factors of 46120 that divides 46109 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1153, 2306, 4612, 5765, 9224, 11530, 23060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46109 and 46120. The biggest common factor number is the GCF number.
So the greatest common factor 46109 and 46120 is 1.

Also check out the Least Common Multiple of 46109 and 46120