What is the Greatest Common Factor of 84729 and 84741?

Greatest common factor (GCF) of 84729 and 84741 is 3.

GCF(84729,84741) = 3

We will now calculate the prime factors of 84729 and 84741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84729 and 84741.

How to find the GCF of 84729 and 84741?

We will first find the prime factorization of 84729 and 84741. After we will calculate the factors of 84729 and 84741 and find the biggest common factor number .

Step-1: Prime Factorization of 84729

Prime factors of 84729 are 3, 61, 463. Prime factorization of 84729 in exponential form is:

84729 = 3¹ × 61¹ × 463¹

Step-2: Prime Factorization of 84741

Prime factors of 84741 are 3, 47, 601. Prime factorization of 84741 in exponential form is:

84741 = 3¹ × 47¹ × 601¹

Step-3: Factors of 84729

List of positive integer factors of 84729 that divides 84729 without a remainder.

1, 3, 61, 183, 463, 1389, 28243

Step-4: Factors of 84741

List of positive integer factors of 84741 that divides 84729 without a remainder.

1, 3, 47, 141, 601, 1803, 28247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84729 and 84741. The biggest common factor number is the GCF number.
So the greatest common factor 84729 and 84741 is 3.

Also check out the Least Common Multiple of 84729 and 84741