What is the Greatest Common Factor of 30709 and 30727?

Greatest common factor (GCF) of 30709 and 30727 is 1.

GCF(30709,30727) = 1

We will now calculate the prime factors of 30709 and 30727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30709 and 30727.

How to find the GCF of 30709 and 30727?

We will first find the prime factorization of 30709 and 30727. After we will calculate the factors of 30709 and 30727 and find the biggest common factor number .

Step-1: Prime Factorization of 30709

Prime factors of 30709 are 7, 41, 107. Prime factorization of 30709 in exponential form is:

30709 = 7¹ × 41¹ × 107¹

Step-2: Prime Factorization of 30727

Prime factors of 30727 are 30727. Prime factorization of 30727 in exponential form is:

30727 = 30727¹

Step-3: Factors of 30709

List of positive integer factors of 30709 that divides 30709 without a remainder.

1, 7, 41, 107, 287, 749, 4387

Step-4: Factors of 30727

List of positive integer factors of 30727 that divides 30709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30709 and 30727. The biggest common factor number is the GCF number.
So the greatest common factor 30709 and 30727 is 1.

Also check out the Least Common Multiple of 30709 and 30727