What is the Greatest Common Factor of 84024 and 84042?

Greatest common factor (GCF) of 84024 and 84042 is 18.

GCF(84024,84042) = 18

We will now calculate the prime factors of 84024 and 84042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84024 and 84042.

How to find the GCF of 84024 and 84042?

We will first find the prime factorization of 84024 and 84042. After we will calculate the factors of 84024 and 84042 and find the biggest common factor number .

Step-1: Prime Factorization of 84024

Prime factors of 84024 are 2, 3, 389. Prime factorization of 84024 in exponential form is:

84024 = 2³ × 3³ × 389¹

Step-2: Prime Factorization of 84042

Prime factors of 84042 are 2, 3, 7, 23, 29. Prime factorization of 84042 in exponential form is:

84042 = 2¹ × 3² × 7¹ × 23¹ × 29¹

Step-3: Factors of 84024

List of positive integer factors of 84024 that divides 84024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 389, 778, 1167, 1556, 2334, 3112, 3501, 4668, 7002, 9336, 10503, 14004, 21006, 28008, 42012

Step-4: Factors of 84042

List of positive integer factors of 84042 that divides 84024 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 29, 42, 46, 58, 63, 69, 87, 126, 138, 161, 174, 203, 207, 261, 322, 406, 414, 483, 522, 609, 667, 966, 1218, 1334, 1449, 1827, 2001, 2898, 3654, 4002, 4669, 6003, 9338, 12006, 14007, 28014, 42021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84024 and 84042. The biggest common factor number is the GCF number.
So the greatest common factor 84024 and 84042 is 18.

Also check out the Least Common Multiple of 84024 and 84042