What is the Greatest Common Factor of 42174 and 42183?

Greatest common factor (GCF) of 42174 and 42183 is 9.

GCF(42174,42183) = 9

We will now calculate the prime factors of 42174 and 42183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42174 and 42183.

How to find the GCF of 42174 and 42183?

We will first find the prime factorization of 42174 and 42183. After we will calculate the factors of 42174 and 42183 and find the biggest common factor number .

Step-1: Prime Factorization of 42174

Prime factors of 42174 are 2, 3, 11, 71. Prime factorization of 42174 in exponential form is:

42174 = 2¹ × 3³ × 11¹ × 71¹

Step-2: Prime Factorization of 42183

Prime factors of 42183 are 3, 43, 109. Prime factorization of 42183 in exponential form is:

42183 = 3² × 43¹ × 109¹

Step-3: Factors of 42174

List of positive integer factors of 42174 that divides 42174 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 71, 99, 142, 198, 213, 297, 426, 594, 639, 781, 1278, 1562, 1917, 2343, 3834, 4686, 7029, 14058, 21087

Step-4: Factors of 42183

List of positive integer factors of 42183 that divides 42174 without a remainder.

1, 3, 9, 43, 109, 129, 327, 387, 981, 4687, 14061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42174 and 42183. The biggest common factor number is the GCF number.
So the greatest common factor 42174 and 42183 is 9.

Also check out the Least Common Multiple of 42174 and 42183