What is the Greatest Common Factor of 68646 and 68663?

Greatest common factor (GCF) of 68646 and 68663 is 17.

GCF(68646,68663) = 17

We will now calculate the prime factors of 68646 and 68663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68646 and 68663.

How to find the GCF of 68646 and 68663?

We will first find the prime factorization of 68646 and 68663. After we will calculate the factors of 68646 and 68663 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 68663

Prime factors of 68663 are 7, 17, 577. Prime factorization of 68663 in exponential form is:

68663 = 7¹ × 17¹ × 577¹

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 68663

List of positive integer factors of 68663 that divides 68646 without a remainder.

1, 7, 17, 119, 577, 4039, 9809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68646 and 68663. The biggest common factor number is the GCF number.
So the greatest common factor 68646 and 68663 is 17.

Also check out the Least Common Multiple of 68646 and 68663