What is the Greatest Common Factor of 59427 and 59442?

Greatest common factor (GCF) of 59427 and 59442 is 3.

GCF(59427,59442) = 3

We will now calculate the prime factors of 59427 and 59442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59427 and 59442.

How to find the GCF of 59427 and 59442?

We will first find the prime factorization of 59427 and 59442. After we will calculate the factors of 59427 and 59442 and find the biggest common factor number .

Step-1: Prime Factorization of 59427

Prime factors of 59427 are 3, 31, 71. Prime factorization of 59427 in exponential form is:

59427 = 3³ × 31¹ × 71¹

Step-2: Prime Factorization of 59442

Prime factors of 59442 are 2, 3, 9907. Prime factorization of 59442 in exponential form is:

59442 = 2¹ × 3¹ × 9907¹

Step-3: Factors of 59427

List of positive integer factors of 59427 that divides 59427 without a remainder.

1, 3, 9, 27, 31, 71, 93, 213, 279, 639, 837, 1917, 2201, 6603, 19809

Step-4: Factors of 59442

List of positive integer factors of 59442 that divides 59427 without a remainder.

1, 2, 3, 6, 9907, 19814, 29721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59427 and 59442. The biggest common factor number is the GCF number.
So the greatest common factor 59427 and 59442 is 3.

Also check out the Least Common Multiple of 59427 and 59442