What is the Greatest Common Factor of 46815 and 46824?

Greatest common factor (GCF) of 46815 and 46824 is 3.

GCF(46815,46824) = 3

We will now calculate the prime factors of 46815 and 46824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46815 and 46824.

How to find the GCF of 46815 and 46824?

We will first find the prime factorization of 46815 and 46824. After we will calculate the factors of 46815 and 46824 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46824

Prime factors of 46824 are 2, 3, 1951. Prime factorization of 46824 in exponential form is:

46824 = 2³ × 3¹ × 1951¹

Step-3: Factors of 46815

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

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

Step-4: Factors of 46824

List of positive integer factors of 46824 that divides 46815 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1951, 3902, 5853, 7804, 11706, 15608, 23412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46815 and 46824. The biggest common factor number is the GCF number.
So the greatest common factor 46815 and 46824 is 3.

Also check out the Least Common Multiple of 46815 and 46824