What is the Greatest Common Factor of 42434 and 42452?

Greatest common factor (GCF) of 42434 and 42452 is 2.

GCF(42434,42452) = 2

We will now calculate the prime factors of 42434 and 42452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42434 and 42452.

How to find the GCF of 42434 and 42452?

We will first find the prime factorization of 42434 and 42452. After we will calculate the factors of 42434 and 42452 and find the biggest common factor number .

Step-1: Prime Factorization of 42434

Prime factors of 42434 are 2, 7, 433. Prime factorization of 42434 in exponential form is:

42434 = 2¹ × 7² × 433¹

Step-2: Prime Factorization of 42452

Prime factors of 42452 are 2, 10613. Prime factorization of 42452 in exponential form is:

42452 = 2² × 10613¹

Step-3: Factors of 42434

List of positive integer factors of 42434 that divides 42434 without a remainder.

1, 2, 7, 14, 49, 98, 433, 866, 3031, 6062, 21217

Step-4: Factors of 42452

List of positive integer factors of 42452 that divides 42434 without a remainder.

1, 2, 4, 10613, 21226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42434 and 42452. The biggest common factor number is the GCF number.
So the greatest common factor 42434 and 42452 is 2.

Also check out the Least Common Multiple of 42434 and 42452