What is the Greatest Common Factor of 27126 and 27139?

Greatest common factor (GCF) of 27126 and 27139 is 1.

GCF(27126,27139) = 1

We will now calculate the prime factors of 27126 and 27139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27126 and 27139.

How to find the GCF of 27126 and 27139?

We will first find the prime factorization of 27126 and 27139. After we will calculate the factors of 27126 and 27139 and find the biggest common factor number .

Step-1: Prime Factorization of 27126

Prime factors of 27126 are 2, 3, 11, 137. Prime factorization of 27126 in exponential form is:

27126 = 2¹ × 3² × 11¹ × 137¹

Step-2: Prime Factorization of 27139

Prime factors of 27139 are 7, 3877. Prime factorization of 27139 in exponential form is:

27139 = 7¹ × 3877¹

Step-3: Factors of 27126

List of positive integer factors of 27126 that divides 27126 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 137, 198, 274, 411, 822, 1233, 1507, 2466, 3014, 4521, 9042, 13563

Step-4: Factors of 27139

List of positive integer factors of 27139 that divides 27126 without a remainder.

1, 7, 3877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27126 and 27139. The biggest common factor number is the GCF number.
So the greatest common factor 27126 and 27139 is 1.

Also check out the Least Common Multiple of 27126 and 27139