What is the Greatest Common Factor of 68970 and 68980?

Greatest common factor (GCF) of 68970 and 68980 is 10.

GCF(68970,68980) = 10

We will now calculate the prime factors of 68970 and 68980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68980.

How to find the GCF of 68970 and 68980?

We will first find the prime factorization of 68970 and 68980. After we will calculate the factors of 68970 and 68980 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 68980

Prime factors of 68980 are 2, 5, 3449. Prime factorization of 68980 in exponential form is:

68980 = 2² × 5¹ × 3449¹

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 68980

List of positive integer factors of 68980 that divides 68970 without a remainder.

1, 2, 4, 5, 10, 20, 3449, 6898, 13796, 17245, 34490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68980. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68980 is 10.

Also check out the Least Common Multiple of 68970 and 68980