What is the Greatest Common Factor of 68970 and 68985?

Greatest common factor (GCF) of 68970 and 68985 is 15.

GCF(68970,68985) = 15

We will now calculate the prime factors of 68970 and 68985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68970 and 68985.

How to find the GCF of 68970 and 68985?

We will first find the prime factorization of 68970 and 68985. After we will calculate the factors of 68970 and 68985 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 68985

Prime factors of 68985 are 3, 5, 7, 73. Prime factorization of 68985 in exponential form is:

68985 = 3³ × 5¹ × 7¹ × 73¹

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 68985

List of positive integer factors of 68985 that divides 68970 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 73, 105, 135, 189, 219, 315, 365, 511, 657, 945, 1095, 1533, 1971, 2555, 3285, 4599, 7665, 9855, 13797, 22995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68970 and 68985. The biggest common factor number is the GCF number.
So the greatest common factor 68970 and 68985 is 15.

Also check out the Least Common Multiple of 68970 and 68985