What is the Greatest Common Factor of 68646 and 68661?

Greatest common factor (GCF) of 68646 and 68661 is 3.

GCF(68646,68661) = 3

We will now calculate the prime factors of 68646 and 68661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68646 and 68661.

How to find the GCF of 68646 and 68661?

We will first find the prime factorization of 68646 and 68661. After we will calculate the factors of 68646 and 68661 and find the biggest common factor number .

Step-1: Prime Factorization of 68646

Prime factors of 68646 are 2, 3, 17, 673. Prime factorization of 68646 in exponential form is:

68646 = 2¹ × 3¹ × 17¹ × 673¹

Step-2: Prime Factorization of 68661

Prime factors of 68661 are 3, 2543. Prime factorization of 68661 in exponential form is:

68661 = 3³ × 2543¹

Step-3: Factors of 68646

List of positive integer factors of 68646 that divides 68646 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 673, 1346, 2019, 4038, 11441, 22882, 34323

Step-4: Factors of 68661

List of positive integer factors of 68661 that divides 68646 without a remainder.

1, 3, 9, 27, 2543, 7629, 22887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68646 and 68661. The biggest common factor number is the GCF number.
So the greatest common factor 68646 and 68661 is 3.

Also check out the Least Common Multiple of 68646 and 68661