What is the Greatest Common Factor of 68970 and 68984?

Greatest common factor (GCF) of 68970 and 68984 is 2.

GCF(68970,68984) = 2

We will now calculate the prime factors of 68970 and 68984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68984.

How to find the GCF of 68970 and 68984?

We will first find the prime factorization of 68970 and 68984. After we will calculate the factors of 68970 and 68984 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 68984

Prime factors of 68984 are 2, 8623. Prime factorization of 68984 in exponential form is:

68984 = 2³ × 8623¹

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 68984

List of positive integer factors of 68984 that divides 68970 without a remainder.

1, 2, 4, 8, 8623, 17246, 34492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68984. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68984 is 2.

Also check out the Least Common Multiple of 68970 and 68984