What is the Greatest Common Factor of 49689 and 49701?

Greatest common factor (GCF) of 49689 and 49701 is 3.

GCF(49689,49701) = 3

We will now calculate the prime factors of 49689 and 49701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49689 and 49701.

How to find the GCF of 49689 and 49701?

We will first find the prime factorization of 49689 and 49701. After we will calculate the factors of 49689 and 49701 and find the biggest common factor number .

Step-1: Prime Factorization of 49689

Prime factors of 49689 are 3, 5521. Prime factorization of 49689 in exponential form is:

49689 = 3² × 5521¹

Step-2: Prime Factorization of 49701

Prime factors of 49701 are 3, 16567. Prime factorization of 49701 in exponential form is:

49701 = 3¹ × 16567¹

Step-3: Factors of 49689

List of positive integer factors of 49689 that divides 49689 without a remainder.

1, 3, 9, 5521, 16563

Step-4: Factors of 49701

List of positive integer factors of 49701 that divides 49689 without a remainder.

1, 3, 16567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49689 and 49701. The biggest common factor number is the GCF number.
So the greatest common factor 49689 and 49701 is 3.

Also check out the Least Common Multiple of 49689 and 49701