What is the Greatest Common Factor of 42296 and 42313?

Greatest common factor (GCF) of 42296 and 42313 is 17.

GCF(42296,42313) = 17

We will now calculate the prime factors of 42296 and 42313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42296 and 42313.

How to find the GCF of 42296 and 42313?

We will first find the prime factorization of 42296 and 42313. After we will calculate the factors of 42296 and 42313 and find the biggest common factor number .

Step-1: Prime Factorization of 42296

Prime factors of 42296 are 2, 17, 311. Prime factorization of 42296 in exponential form is:

42296 = 2³ × 17¹ × 311¹

Step-2: Prime Factorization of 42313

Prime factors of 42313 are 17, 19, 131. Prime factorization of 42313 in exponential form is:

42313 = 17¹ × 19¹ × 131¹

Step-3: Factors of 42296

List of positive integer factors of 42296 that divides 42296 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 311, 622, 1244, 2488, 5287, 10574, 21148

Step-4: Factors of 42313

List of positive integer factors of 42313 that divides 42296 without a remainder.

1, 17, 19, 131, 323, 2227, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42296 and 42313. The biggest common factor number is the GCF number.
So the greatest common factor 42296 and 42313 is 17.

Also check out the Least Common Multiple of 42296 and 42313