What is the Greatest Common Factor of 68673 and 68691?

Greatest common factor (GCF) of 68673 and 68691 is 3.

GCF(68673,68691) = 3

We will now calculate the prime factors of 68673 and 68691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68673 and 68691.

How to find the GCF of 68673 and 68691?

We will first find the prime factorization of 68673 and 68691. After we will calculate the factors of 68673 and 68691 and find the biggest common factor number .

Step-1: Prime Factorization of 68673

Prime factors of 68673 are 3, 11, 2081. Prime factorization of 68673 in exponential form is:

68673 = 3¹ × 11¹ × 2081¹

Step-2: Prime Factorization of 68691

Prime factors of 68691 are 3, 7, 3271. Prime factorization of 68691 in exponential form is:

68691 = 3¹ × 7¹ × 3271¹

Step-3: Factors of 68673

List of positive integer factors of 68673 that divides 68673 without a remainder.

1, 3, 11, 33, 2081, 6243, 22891

Step-4: Factors of 68691

List of positive integer factors of 68691 that divides 68673 without a remainder.

1, 3, 7, 21, 3271, 9813, 22897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68673 and 68691. The biggest common factor number is the GCF number.
So the greatest common factor 68673 and 68691 is 3.

Also check out the Least Common Multiple of 68673 and 68691