What is the Greatest Common Factor of 84414 and 84423?

Greatest common factor (GCF) of 84414 and 84423 is 3.

GCF(84414,84423) = 3

We will now calculate the prime factors of 84414 and 84423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84414 and 84423.

How to find the GCF of 84414 and 84423?

We will first find the prime factorization of 84414 and 84423. After we will calculate the factors of 84414 and 84423 and find the biggest common factor number .

Step-1: Prime Factorization of 84414

Prime factors of 84414 are 2, 3, 11, 1279. Prime factorization of 84414 in exponential form is:

84414 = 2¹ × 3¹ × 11¹ × 1279¹

Step-2: Prime Factorization of 84423

Prime factors of 84423 are 3, 107, 263. Prime factorization of 84423 in exponential form is:

84423 = 3¹ × 107¹ × 263¹

Step-3: Factors of 84414

List of positive integer factors of 84414 that divides 84414 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1279, 2558, 3837, 7674, 14069, 28138, 42207

Step-4: Factors of 84423

List of positive integer factors of 84423 that divides 84414 without a remainder.

1, 3, 107, 263, 321, 789, 28141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84414 and 84423. The biggest common factor number is the GCF number.
So the greatest common factor 84414 and 84423 is 3.

Also check out the Least Common Multiple of 84414 and 84423