What is the Greatest Common Factor of 68970 and 68990?

Greatest common factor (GCF) of 68970 and 68990 is 10.

GCF(68970,68990) = 10

We will now calculate the prime factors of 68970 and 68990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68990.

How to find the GCF of 68970 and 68990?

We will first find the prime factorization of 68970 and 68990. After we will calculate the factors of 68970 and 68990 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 68990

Prime factors of 68990 are 2, 5, 6899. Prime factorization of 68990 in exponential form is:

68990 = 2¹ × 5¹ × 6899¹

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 68990

List of positive integer factors of 68990 that divides 68970 without a remainder.

1, 2, 5, 10, 6899, 13798, 34495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68990. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68990 is 10.

Also check out the Least Common Multiple of 68970 and 68990