What is the Greatest Common Factor of 68638 and 68646?

Greatest common factor (GCF) of 68638 and 68646 is 2.

GCF(68638,68646) = 2

We will now calculate the prime factors of 68638 and 68646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68638 and 68646.

How to find the GCF of 68638 and 68646?

We will first find the prime factorization of 68638 and 68646. After we will calculate the factors of 68638 and 68646 and find the biggest common factor number .

Step-1: Prime Factorization of 68638

Prime factors of 68638 are 2, 34319. Prime factorization of 68638 in exponential form is:

68638 = 2¹ × 34319¹

Step-2: 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-3: Factors of 68638

List of positive integer factors of 68638 that divides 68638 without a remainder.

1, 2, 34319

Step-4: Factors of 68646

List of positive integer factors of 68646 that divides 68638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68638 and 68646. The biggest common factor number is the GCF number.
So the greatest common factor 68638 and 68646 is 2.

Also check out the Least Common Multiple of 68638 and 68646