What is the Greatest Common Factor of 68970 and 68986?

Greatest common factor (GCF) of 68970 and 68986 is 2.

GCF(68970,68986) = 2

We will now calculate the prime factors of 68970 and 68986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68986.

How to find the GCF of 68970 and 68986?

We will first find the prime factorization of 68970 and 68986. After we will calculate the factors of 68970 and 68986 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 68986

Prime factors of 68986 are 2, 17, 2029. Prime factorization of 68986 in exponential form is:

68986 = 2¹ × 17¹ × 2029¹

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 68986

List of positive integer factors of 68986 that divides 68970 without a remainder.

1, 2, 17, 34, 2029, 4058, 34493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68986. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68986 is 2.

Also check out the Least Common Multiple of 68970 and 68986