What is the Greatest Common Factor of 84414 and 84424?

Greatest common factor (GCF) of 84414 and 84424 is 2.

GCF(84414,84424) = 2

We will now calculate the prime factors of 84414 and 84424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84414 and 84424.

How to find the GCF of 84414 and 84424?

We will first find the prime factorization of 84414 and 84424. After we will calculate the factors of 84414 and 84424 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 84424

Prime factors of 84424 are 2, 61, 173. Prime factorization of 84424 in exponential form is:

84424 = 2³ × 61¹ × 173¹

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 84424

List of positive integer factors of 84424 that divides 84414 without a remainder.

1, 2, 4, 8, 61, 122, 173, 244, 346, 488, 692, 1384, 10553, 21106, 42212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84414 and 84424. The biggest common factor number is the GCF number.
So the greatest common factor 84414 and 84424 is 2.

Also check out the Least Common Multiple of 84414 and 84424