What is the Greatest Common Factor of 48693 and 48699?

Greatest common factor (GCF) of 48693 and 48699 is 3.

GCF(48693,48699) = 3

We will now calculate the prime factors of 48693 and 48699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48693 and 48699.

How to find the GCF of 48693 and 48699?

We will first find the prime factorization of 48693 and 48699. After we will calculate the factors of 48693 and 48699 and find the biggest common factor number .

Step-1: Prime Factorization of 48693

Prime factors of 48693 are 3, 16231. Prime factorization of 48693 in exponential form is:

48693 = 3¹ × 16231¹

Step-2: Prime Factorization of 48699

Prime factors of 48699 are 3, 7, 773. Prime factorization of 48699 in exponential form is:

48699 = 3² × 7¹ × 773¹

Step-3: Factors of 48693

List of positive integer factors of 48693 that divides 48693 without a remainder.

1, 3, 16231

Step-4: Factors of 48699

List of positive integer factors of 48699 that divides 48693 without a remainder.

1, 3, 7, 9, 21, 63, 773, 2319, 5411, 6957, 16233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48693 and 48699. The biggest common factor number is the GCF number.
So the greatest common factor 48693 and 48699 is 3.

Also check out the Least Common Multiple of 48693 and 48699