What is the Greatest Common Factor of 84729 and 84737?

Greatest common factor (GCF) of 84729 and 84737 is 1.

GCF(84729,84737) = 1

We will now calculate the prime factors of 84729 and 84737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84729 and 84737.

How to find the GCF of 84729 and 84737?

We will first find the prime factorization of 84729 and 84737. After we will calculate the factors of 84729 and 84737 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 84737

Prime factors of 84737 are 84737. Prime factorization of 84737 in exponential form is:

84737 = 84737¹

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 84737

List of positive integer factors of 84737 that divides 84729 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84729 and 84737. The biggest common factor number is the GCF number.
So the greatest common factor 84729 and 84737 is 1.

Also check out the Least Common Multiple of 84729 and 84737