What is the Greatest Common Factor of 68727 and 68733?

Greatest common factor (GCF) of 68727 and 68733 is 3.

GCF(68727,68733) = 3

We will now calculate the prime factors of 68727 and 68733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68727 and 68733.

How to find the GCF of 68727 and 68733?

We will first find the prime factorization of 68727 and 68733. After we will calculate the factors of 68727 and 68733 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68733

Prime factors of 68733 are 3, 7, 1091. Prime factorization of 68733 in exponential form is:

68733 = 3² × 7¹ × 1091¹

Step-3: Factors of 68727

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

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

Step-4: Factors of 68733

List of positive integer factors of 68733 that divides 68727 without a remainder.

1, 3, 7, 9, 21, 63, 1091, 3273, 7637, 9819, 22911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68727 and 68733. The biggest common factor number is the GCF number.
So the greatest common factor 68727 and 68733 is 3.

Also check out the Least Common Multiple of 68727 and 68733