What is the Greatest Common Factor of 68709 and 68727?

Greatest common factor (GCF) of 68709 and 68727 is 3.

GCF(68709,68727) = 3

We will now calculate the prime factors of 68709 and 68727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68709 and 68727.

How to find the GCF of 68709 and 68727?

We will first find the prime factorization of 68709 and 68727. After we will calculate the factors of 68709 and 68727 and find the biggest common factor number .

Step-1: Prime Factorization of 68709

Prime factors of 68709 are 3, 37, 619. Prime factorization of 68709 in exponential form is:

68709 = 3¹ × 37¹ × 619¹

Step-2: Prime Factorization of 68727

Prime factors of 68727 are 3, 31, 739. Prime factorization of 68727 in exponential form is:

68727 = 3¹ × 31¹ × 739¹

Step-3: Factors of 68709

List of positive integer factors of 68709 that divides 68709 without a remainder.

1, 3, 37, 111, 619, 1857, 22903

Step-4: Factors of 68727

List of positive integer factors of 68727 that divides 68709 without a remainder.

1, 3, 31, 93, 739, 2217, 22909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68709 and 68727. The biggest common factor number is the GCF number.
So the greatest common factor 68709 and 68727 is 3.

Also check out the Least Common Multiple of 68709 and 68727