What is the Greatest Common Factor of 42333 and 42351?

Greatest common factor (GCF) of 42333 and 42351 is 3.

GCF(42333,42351) = 3

We will now calculate the prime factors of 42333 and 42351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42333 and 42351.

How to find the GCF of 42333 and 42351?

We will first find the prime factorization of 42333 and 42351. After we will calculate the factors of 42333 and 42351 and find the biggest common factor number .

Step-1: Prime Factorization of 42333

Prime factors of 42333 are 3, 103, 137. Prime factorization of 42333 in exponential form is:

42333 = 3¹ × 103¹ × 137¹

Step-2: Prime Factorization of 42351

Prime factors of 42351 are 3, 19, 743. Prime factorization of 42351 in exponential form is:

42351 = 3¹ × 19¹ × 743¹

Step-3: Factors of 42333

List of positive integer factors of 42333 that divides 42333 without a remainder.

1, 3, 103, 137, 309, 411, 14111

Step-4: Factors of 42351

List of positive integer factors of 42351 that divides 42333 without a remainder.

1, 3, 19, 57, 743, 2229, 14117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42333 and 42351. The biggest common factor number is the GCF number.
So the greatest common factor 42333 and 42351 is 3.

Also check out the Least Common Multiple of 42333 and 42351