What is the Greatest Common Factor of 46810 and 46815?

Greatest common factor (GCF) of 46810 and 46815 is 5.

GCF(46810,46815) = 5

We will now calculate the prime factors of 46810 and 46815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46810 and 46815.

How to find the GCF of 46810 and 46815?

We will first find the prime factorization of 46810 and 46815. After we will calculate the factors of 46810 and 46815 and find the biggest common factor number .

Step-1: Prime Factorization of 46810

Prime factors of 46810 are 2, 5, 31, 151. Prime factorization of 46810 in exponential form is:

46810 = 2¹ × 5¹ × 31¹ × 151¹

Step-2: Prime Factorization of 46815

Prime factors of 46815 are 3, 5, 3121. Prime factorization of 46815 in exponential form is:

46815 = 3¹ × 5¹ × 3121¹

Step-3: Factors of 46810

List of positive integer factors of 46810 that divides 46810 without a remainder.

1, 2, 5, 10, 31, 62, 151, 155, 302, 310, 755, 1510, 4681, 9362, 23405

Step-4: Factors of 46815

List of positive integer factors of 46815 that divides 46810 without a remainder.

1, 3, 5, 15, 3121, 9363, 15605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46810 and 46815. The biggest common factor number is the GCF number.
So the greatest common factor 46810 and 46815 is 5.

Also check out the Least Common Multiple of 46810 and 46815