What is the Greatest Common Factor of 46115 and 46120?

Greatest common factor (GCF) of 46115 and 46120 is 5.

GCF(46115,46120) = 5

We will now calculate the prime factors of 46115 and 46120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46115 and 46120.

How to find the GCF of 46115 and 46120?

We will first find the prime factorization of 46115 and 46120. After we will calculate the factors of 46115 and 46120 and find the biggest common factor number .

Step-1: 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-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 46115

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

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

Step-4: Factors of 46120

List of positive integer factors of 46120 that divides 46115 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 46115 and 46120. The biggest common factor number is the GCF number.
So the greatest common factor 46115 and 46120 is 5.

Also check out the Least Common Multiple of 46115 and 46120