What is the Greatest Common Factor of 84293 and 84304?

Greatest common factor (GCF) of 84293 and 84304 is 11.

GCF(84293,84304) = 11

We will now calculate the prime factors of 84293 and 84304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84293 and 84304.

How to find the GCF of 84293 and 84304?

We will first find the prime factorization of 84293 and 84304. After we will calculate the factors of 84293 and 84304 and find the biggest common factor number .

Step-1: Prime Factorization of 84293

Prime factors of 84293 are 11, 79, 97. Prime factorization of 84293 in exponential form is:

84293 = 11¹ × 79¹ × 97¹

Step-2: Prime Factorization of 84304

Prime factors of 84304 are 2, 11, 479. Prime factorization of 84304 in exponential form is:

84304 = 2⁴ × 11¹ × 479¹

Step-3: Factors of 84293

List of positive integer factors of 84293 that divides 84293 without a remainder.

1, 11, 79, 97, 869, 1067, 7663

Step-4: Factors of 84304

List of positive integer factors of 84304 that divides 84293 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 479, 958, 1916, 3832, 5269, 7664, 10538, 21076, 42152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84293 and 84304. The biggest common factor number is the GCF number.
So the greatest common factor 84293 and 84304 is 11.

Also check out the Least Common Multiple of 84293 and 84304