What is the Greatest Common Factor of 84354 and 84371?

Greatest common factor (GCF) of 84354 and 84371 is 17.

GCF(84354,84371) = 17

We will now calculate the prime factors of 84354 and 84371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84354 and 84371.

How to find the GCF of 84354 and 84371?

We will first find the prime factorization of 84354 and 84371. After we will calculate the factors of 84354 and 84371 and find the biggest common factor number .

Step-1: Prime Factorization of 84354

Prime factors of 84354 are 2, 3, 17, 827. Prime factorization of 84354 in exponential form is:

84354 = 2¹ × 3¹ × 17¹ × 827¹

Step-2: Prime Factorization of 84371

Prime factors of 84371 are 7, 17, 709. Prime factorization of 84371 in exponential form is:

84371 = 7¹ × 17¹ × 709¹

Step-3: Factors of 84354

List of positive integer factors of 84354 that divides 84354 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 827, 1654, 2481, 4962, 14059, 28118, 42177

Step-4: Factors of 84371

List of positive integer factors of 84371 that divides 84354 without a remainder.

1, 7, 17, 119, 709, 4963, 12053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84354 and 84371. The biggest common factor number is the GCF number.
So the greatest common factor 84354 and 84371 is 17.

Also check out the Least Common Multiple of 84354 and 84371