What is the Greatest Common Factor of 46515 and 46533?

Greatest common factor (GCF) of 46515 and 46533 is 3.

GCF(46515,46533) = 3

We will now calculate the prime factors of 46515 and 46533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46515 and 46533.

How to find the GCF of 46515 and 46533?

We will first find the prime factorization of 46515 and 46533. After we will calculate the factors of 46515 and 46533 and find the biggest common factor number .

Step-1: Prime Factorization of 46515

Prime factors of 46515 are 3, 5, 7, 443. Prime factorization of 46515 in exponential form is:

46515 = 3¹ × 5¹ × 7¹ × 443¹

Step-2: Prime Factorization of 46533

Prime factors of 46533 are 3, 15511. Prime factorization of 46533 in exponential form is:

46533 = 3¹ × 15511¹

Step-3: Factors of 46515

List of positive integer factors of 46515 that divides 46515 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 443, 1329, 2215, 3101, 6645, 9303, 15505

Step-4: Factors of 46533

List of positive integer factors of 46533 that divides 46515 without a remainder.

1, 3, 15511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46515 and 46533. The biggest common factor number is the GCF number.
So the greatest common factor 46515 and 46533 is 3.

Also check out the Least Common Multiple of 46515 and 46533