What is the Greatest Common Factor of 27042 and 27059?

Greatest common factor (GCF) of 27042 and 27059 is 1.

GCF(27042,27059) = 1

We will now calculate the prime factors of 27042 and 27059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27042 and 27059.

How to find the GCF of 27042 and 27059?

We will first find the prime factorization of 27042 and 27059. After we will calculate the factors of 27042 and 27059 and find the biggest common factor number .

Step-1: Prime Factorization of 27042

Prime factors of 27042 are 2, 3, 4507. Prime factorization of 27042 in exponential form is:

27042 = 2¹ × 3¹ × 4507¹

Step-2: Prime Factorization of 27059

Prime factors of 27059 are 27059. Prime factorization of 27059 in exponential form is:

27059 = 27059¹

Step-3: Factors of 27042

List of positive integer factors of 27042 that divides 27042 without a remainder.

1, 2, 3, 6, 4507, 9014, 13521

Step-4: Factors of 27059

List of positive integer factors of 27059 that divides 27042 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27042 and 27059. The biggest common factor number is the GCF number.
So the greatest common factor 27042 and 27059 is 1.

Also check out the Least Common Multiple of 27042 and 27059