What is the Greatest Common Factor of 42279 and 42291?

Greatest common factor (GCF) of 42279 and 42291 is 3.

GCF(42279,42291) = 3

We will now calculate the prime factors of 42279 and 42291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42279 and 42291.

How to find the GCF of 42279 and 42291?

We will first find the prime factorization of 42279 and 42291. After we will calculate the factors of 42279 and 42291 and find the biggest common factor number .

Step-1: Prime Factorization of 42279

Prime factors of 42279 are 3, 17, 829. Prime factorization of 42279 in exponential form is:

42279 = 3¹ × 17¹ × 829¹

Step-2: 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-3: Factors of 42279

List of positive integer factors of 42279 that divides 42279 without a remainder.

1, 3, 17, 51, 829, 2487, 14093

Step-4: Factors of 42291

List of positive integer factors of 42291 that divides 42279 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42279 and 42291. The biggest common factor number is the GCF number.
So the greatest common factor 42279 and 42291 is 3.

Also check out the Least Common Multiple of 42279 and 42291