What is the Greatest Common Factor of 68970 and 68989?

Greatest common factor (GCF) of 68970 and 68989 is 19.

GCF(68970,68989) = 19

We will now calculate the prime factors of 68970 and 68989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68989.

How to find the GCF of 68970 and 68989?

We will first find the prime factorization of 68970 and 68989. After we will calculate the factors of 68970 and 68989 and find the biggest common factor number .

Step-1: Prime Factorization of 68970

Prime factors of 68970 are 2, 3, 5, 11, 19. Prime factorization of 68970 in exponential form is:

68970 = 2¹ × 3¹ × 5¹ × 11² × 19¹

Step-2: Prime Factorization of 68989

Prime factors of 68989 are 19, 3631. Prime factorization of 68989 in exponential form is:

68989 = 19¹ × 3631¹

Step-3: Factors of 68970

List of positive integer factors of 68970 that divides 68970 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 121, 165, 190, 209, 242, 285, 330, 363, 418, 570, 605, 627, 726, 1045, 1210, 1254, 1815, 2090, 2299, 3135, 3630, 4598, 6270, 6897, 11495, 13794, 22990, 34485

Step-4: Factors of 68989

List of positive integer factors of 68989 that divides 68970 without a remainder.

1, 19, 3631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68989. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68989 is 19.

Also check out the Least Common Multiple of 68970 and 68989