What is the Greatest Common Factor of 95427 and 95442?

Greatest common factor (GCF) of 95427 and 95442 is 3.

GCF(95427,95442) = 3

We will now calculate the prime factors of 95427 and 95442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95427 and 95442.

How to find the GCF of 95427 and 95442?

We will first find the prime factorization of 95427 and 95442. After we will calculate the factors of 95427 and 95442 and find the biggest common factor number .

Step-1: Prime Factorization of 95427

Prime factors of 95427 are 3, 23, 461. Prime factorization of 95427 in exponential form is:

95427 = 3² × 23¹ × 461¹

Step-2: Prime Factorization of 95442

Prime factors of 95442 are 2, 3, 15907. Prime factorization of 95442 in exponential form is:

95442 = 2¹ × 3¹ × 15907¹

Step-3: Factors of 95427

List of positive integer factors of 95427 that divides 95427 without a remainder.

1, 3, 9, 23, 69, 207, 461, 1383, 4149, 10603, 31809

Step-4: Factors of 95442

List of positive integer factors of 95442 that divides 95427 without a remainder.

1, 2, 3, 6, 15907, 31814, 47721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95427 and 95442. The biggest common factor number is the GCF number.
So the greatest common factor 95427 and 95442 is 3.

Also check out the Least Common Multiple of 95427 and 95442