What is the Greatest Common Factor of 27138 and 27145?

Greatest common factor (GCF) of 27138 and 27145 is 1.

GCF(27138,27145) = 1

We will now calculate the prime factors of 27138 and 27145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27138 and 27145.

How to find the GCF of 27138 and 27145?

We will first find the prime factorization of 27138 and 27145. After we will calculate the factors of 27138 and 27145 and find the biggest common factor number .

Step-1: Prime Factorization of 27138

Prime factors of 27138 are 2, 3, 4523. Prime factorization of 27138 in exponential form is:

27138 = 2¹ × 3¹ × 4523¹

Step-2: Prime Factorization of 27145

Prime factors of 27145 are 5, 61, 89. Prime factorization of 27145 in exponential form is:

27145 = 5¹ × 61¹ × 89¹

Step-3: Factors of 27138

List of positive integer factors of 27138 that divides 27138 without a remainder.

1, 2, 3, 6, 4523, 9046, 13569

Step-4: Factors of 27145

List of positive integer factors of 27145 that divides 27138 without a remainder.

1, 5, 61, 89, 305, 445, 5429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27138 and 27145. The biggest common factor number is the GCF number.
So the greatest common factor 27138 and 27145 is 1.

Also check out the Least Common Multiple of 27138 and 27145