What is the Greatest Common Factor of 84033 and 84042?

Greatest common factor (GCF) of 84033 and 84042 is 9.

GCF(84033,84042) = 9

We will now calculate the prime factors of 84033 and 84042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84033 and 84042.

How to find the GCF of 84033 and 84042?

We will first find the prime factorization of 84033 and 84042. After we will calculate the factors of 84033 and 84042 and find the biggest common factor number .

Step-1: Prime Factorization of 84033

Prime factors of 84033 are 3, 9337. Prime factorization of 84033 in exponential form is:

84033 = 3² × 9337¹

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 84033

List of positive integer factors of 84033 that divides 84033 without a remainder.

1, 3, 9, 9337, 28011

Step-4: Factors of 84042

List of positive integer factors of 84042 that divides 84033 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 84033 and 84042. The biggest common factor number is the GCF number.
So the greatest common factor 84033 and 84042 is 9.

Also check out the Least Common Multiple of 84033 and 84042