What is the Greatest Common Factor of 84458 and 84469?

Greatest common factor (GCF) of 84458 and 84469 is 11.

GCF(84458,84469) = 11

We will now calculate the prime factors of 84458 and 84469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84458 and 84469.

How to find the GCF of 84458 and 84469?

We will first find the prime factorization of 84458 and 84469. After we will calculate the factors of 84458 and 84469 and find the biggest common factor number .

Step-1: Prime Factorization of 84458

Prime factors of 84458 are 2, 11, 349. Prime factorization of 84458 in exponential form is:

84458 = 2¹ × 11² × 349¹

Step-2: Prime Factorization of 84469

Prime factors of 84469 are 7, 11, 1097. Prime factorization of 84469 in exponential form is:

84469 = 7¹ × 11¹ × 1097¹

Step-3: Factors of 84458

List of positive integer factors of 84458 that divides 84458 without a remainder.

1, 2, 11, 22, 121, 242, 349, 698, 3839, 7678, 42229

Step-4: Factors of 84469

List of positive integer factors of 84469 that divides 84458 without a remainder.

1, 7, 11, 77, 1097, 7679, 12067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84458 and 84469. The biggest common factor number is the GCF number.
So the greatest common factor 84458 and 84469 is 11.

Also check out the Least Common Multiple of 84458 and 84469