What is the Greatest Common Factor of 42324 and 42342?

Greatest common factor (GCF) of 42324 and 42342 is 6.

GCF(42324,42342) = 6

We will now calculate the prime factors of 42324 and 42342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42324 and 42342.

How to find the GCF of 42324 and 42342?

We will first find the prime factorization of 42324 and 42342. After we will calculate the factors of 42324 and 42342 and find the biggest common factor number .

Step-1: Prime Factorization of 42324

Prime factors of 42324 are 2, 3, 3527. Prime factorization of 42324 in exponential form is:

42324 = 2² × 3¹ × 3527¹

Step-2: Prime Factorization of 42342

Prime factors of 42342 are 2, 3, 7057. Prime factorization of 42342 in exponential form is:

42342 = 2¹ × 3¹ × 7057¹

Step-3: Factors of 42324

List of positive integer factors of 42324 that divides 42324 without a remainder.

1, 2, 3, 4, 6, 12, 3527, 7054, 10581, 14108, 21162

Step-4: Factors of 42342

List of positive integer factors of 42342 that divides 42324 without a remainder.

1, 2, 3, 6, 7057, 14114, 21171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42324 and 42342. The biggest common factor number is the GCF number.
So the greatest common factor 42324 and 42342 is 6.

Also check out the Least Common Multiple of 42324 and 42342