What is the Greatest Common Factor of 84819 and 84835?

Greatest common factor (GCF) of 84819 and 84835 is 1.

GCF(84819,84835) = 1

We will now calculate the prime factors of 84819 and 84835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84819 and 84835.

How to find the GCF of 84819 and 84835?

We will first find the prime factorization of 84819 and 84835. After we will calculate the factors of 84819 and 84835 and find the biggest common factor number .

Step-1: Prime Factorization of 84819

Prime factors of 84819 are 3, 7, 577. Prime factorization of 84819 in exponential form is:

84819 = 3¹ × 7² × 577¹

Step-2: Prime Factorization of 84835

Prime factors of 84835 are 5, 19, 47. Prime factorization of 84835 in exponential form is:

84835 = 5¹ × 19² × 47¹

Step-3: Factors of 84819

List of positive integer factors of 84819 that divides 84819 without a remainder.

1, 3, 7, 21, 49, 147, 577, 1731, 4039, 12117, 28273

Step-4: Factors of 84835

List of positive integer factors of 84835 that divides 84819 without a remainder.

1, 5, 19, 47, 95, 235, 361, 893, 1805, 4465, 16967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84819 and 84835. The biggest common factor number is the GCF number.
So the greatest common factor 84819 and 84835 is 1.

Also check out the Least Common Multiple of 84819 and 84835