What is the Greatest Common Factor of 42291 and 42297?

Greatest common factor (GCF) of 42291 and 42297 is 3.

GCF(42291,42297) = 3

We will now calculate the prime factors of 42291 and 42297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42291 and 42297.

How to find the GCF of 42291 and 42297?

We will first find the prime factorization of 42291 and 42297. After we will calculate the factors of 42291 and 42297 and find the biggest common factor number .

Step-1: Prime Factorization of 42291

Prime factors of 42291 are 3, 37, 127. Prime factorization of 42291 in exponential form is:

42291 = 3² × 37¹ × 127¹

Step-2: Prime Factorization of 42297

Prime factors of 42297 are 3, 23, 613. Prime factorization of 42297 in exponential form is:

42297 = 3¹ × 23¹ × 613¹

Step-3: Factors of 42291

List of positive integer factors of 42291 that divides 42291 without a remainder.

1, 3, 9, 37, 111, 127, 333, 381, 1143, 4699, 14097

Step-4: Factors of 42297

List of positive integer factors of 42297 that divides 42291 without a remainder.

1, 3, 23, 69, 613, 1839, 14099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42291 and 42297. The biggest common factor number is the GCF number.
So the greatest common factor 42291 and 42297 is 3.

Also check out the Least Common Multiple of 42291 and 42297