What is the Greatest Common Factor of 42441 and 42447?

Greatest common factor (GCF) of 42441 and 42447 is 3.

GCF(42441,42447) = 3

We will now calculate the prime factors of 42441 and 42447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42441 and 42447.

How to find the GCF of 42441 and 42447?

We will first find the prime factorization of 42441 and 42447. After we will calculate the factors of 42441 and 42447 and find the biggest common factor number .

Step-1: Prime Factorization of 42441

Prime factors of 42441 are 3, 7, 43, 47. Prime factorization of 42441 in exponential form is:

42441 = 3¹ × 7¹ × 43¹ × 47¹

Step-2: Prime Factorization of 42447

Prime factors of 42447 are 3, 14149. Prime factorization of 42447 in exponential form is:

42447 = 3¹ × 14149¹

Step-3: Factors of 42441

List of positive integer factors of 42441 that divides 42441 without a remainder.

1, 3, 7, 21, 43, 47, 129, 141, 301, 329, 903, 987, 2021, 6063, 14147

Step-4: Factors of 42447

List of positive integer factors of 42447 that divides 42441 without a remainder.

1, 3, 14149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42441 and 42447. The biggest common factor number is the GCF number.
So the greatest common factor 42441 and 42447 is 3.

Also check out the Least Common Multiple of 42441 and 42447