What is the Greatest Common Factor of 49674 and 49689?

Greatest common factor (GCF) of 49674 and 49689 is 3.

GCF(49674,49689) = 3

We will now calculate the prime factors of 49674 and 49689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49674 and 49689.

How to find the GCF of 49674 and 49689?

We will first find the prime factorization of 49674 and 49689. After we will calculate the factors of 49674 and 49689 and find the biggest common factor number .

Step-1: Prime Factorization of 49674

Prime factors of 49674 are 2, 3, 17, 487. Prime factorization of 49674 in exponential form is:

49674 = 2¹ × 3¹ × 17¹ × 487¹

Step-2: Prime Factorization of 49689

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

49689 = 3² × 5521¹

Step-3: Factors of 49674

List of positive integer factors of 49674 that divides 49674 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 487, 974, 1461, 2922, 8279, 16558, 24837

Step-4: Factors of 49689

List of positive integer factors of 49689 that divides 49674 without a remainder.

1, 3, 9, 5521, 16563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49674 and 49689. The biggest common factor number is the GCF number.
So the greatest common factor 49674 and 49689 is 3.

Also check out the Least Common Multiple of 49674 and 49689