What is the Greatest Common Factor of 68964 and 68970?

Greatest common factor (GCF) of 68964 and 68970 is 6.

GCF(68964,68970) = 6

We will now calculate the prime factors of 68964 and 68970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68964 and 68970.

How to find the GCF of 68964 and 68970?

We will first find the prime factorization of 68964 and 68970. After we will calculate the factors of 68964 and 68970 and find the biggest common factor number .

Step-1: Prime Factorization of 68964

Prime factors of 68964 are 2, 3, 7, 821. Prime factorization of 68964 in exponential form is:

68964 = 2² × 3¹ × 7¹ × 821¹

Step-2: 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-3: Factors of 68964

List of positive integer factors of 68964 that divides 68964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 821, 1642, 2463, 3284, 4926, 5747, 9852, 11494, 17241, 22988, 34482

Step-4: Factors of 68970

List of positive integer factors of 68970 that divides 68964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68964 and 68970. The biggest common factor number is the GCF number.
So the greatest common factor 68964 and 68970 is 6.

Also check out the Least Common Multiple of 68964 and 68970