What is the Greatest Common Factor of 27042 and 27057?

Greatest common factor (GCF) of 27042 and 27057 is 3.

GCF(27042,27057) = 3

We will now calculate the prime factors of 27042 and 27057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27042 and 27057.

How to find the GCF of 27042 and 27057?

We will first find the prime factorization of 27042 and 27057. After we will calculate the factors of 27042 and 27057 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 27057

Prime factors of 27057 are 3, 29, 311. Prime factorization of 27057 in exponential form is:

27057 = 3¹ × 29¹ × 311¹

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 27057

List of positive integer factors of 27057 that divides 27042 without a remainder.

1, 3, 29, 87, 311, 933, 9019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27042 and 27057. The biggest common factor number is the GCF number.
So the greatest common factor 27042 and 27057 is 3.

Also check out the Least Common Multiple of 27042 and 27057