What is the Greatest Common Factor of 42427 and 42441?

Greatest common factor (GCF) of 42427 and 42441 is 7.

GCF(42427,42441) = 7

We will now calculate the prime factors of 42427 and 42441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42427 and 42441.

How to find the GCF of 42427 and 42441?

We will first find the prime factorization of 42427 and 42441. After we will calculate the factors of 42427 and 42441 and find the biggest common factor number .

Step-1: Prime Factorization of 42427

Prime factors of 42427 are 7, 11, 19, 29. Prime factorization of 42427 in exponential form is:

42427 = 7¹ × 11¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 42427

List of positive integer factors of 42427 that divides 42427 without a remainder.

1, 7, 11, 19, 29, 77, 133, 203, 209, 319, 551, 1463, 2233, 3857, 6061

Step-4: Factors of 42441

List of positive integer factors of 42441 that divides 42427 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42427 and 42441. The biggest common factor number is the GCF number.
So the greatest common factor 42427 and 42441 is 7.

Also check out the Least Common Multiple of 42427 and 42441