What is the Greatest Common Factor of 46801 and 46815?

Greatest common factor (GCF) of 46801 and 46815 is 1.

GCF(46801,46815) = 1

We will now calculate the prime factors of 46801 and 46815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46801 and 46815.

How to find the GCF of 46801 and 46815?

We will first find the prime factorization of 46801 and 46815. After we will calculate the factors of 46801 and 46815 and find the biggest common factor number .

Step-1: Prime Factorization of 46801

Prime factors of 46801 are 17, 2753. Prime factorization of 46801 in exponential form is:

46801 = 17¹ × 2753¹

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 46801

List of positive integer factors of 46801 that divides 46801 without a remainder.

1, 17, 2753

Step-4: Factors of 46815

List of positive integer factors of 46815 that divides 46801 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46801 and 46815. The biggest common factor number is the GCF number.
So the greatest common factor 46801 and 46815 is 1.

Also check out the Least Common Multiple of 46801 and 46815