What is the Greatest Common Factor of 67968 and 67986?

Greatest common factor (GCF) of 67968 and 67986 is 18.

GCF(67968,67986) = 18

We will now calculate the prime factors of 67968 and 67986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67968 and 67986.

How to find the GCF of 67968 and 67986?

We will first find the prime factorization of 67968 and 67986. After we will calculate the factors of 67968 and 67986 and find the biggest common factor number .

Step-1: Prime Factorization of 67968

Prime factors of 67968 are 2, 3, 59. Prime factorization of 67968 in exponential form is:

67968 = 2⁷ × 3² × 59¹

Step-2: Prime Factorization of 67986

Prime factors of 67986 are 2, 3, 1259. Prime factorization of 67986 in exponential form is:

67986 = 2¹ × 3³ × 1259¹

Step-3: Factors of 67968

List of positive integer factors of 67968 that divides 67968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 64, 72, 96, 118, 128, 144, 177, 192, 236, 288, 354, 384, 472, 531, 576, 708, 944, 1062, 1152, 1416, 1888, 2124, 2832, 3776, 4248, 5664, 7552, 8496, 11328, 16992, 22656, 33984

Step-4: Factors of 67986

List of positive integer factors of 67986 that divides 67968 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1259, 2518, 3777, 7554, 11331, 22662, 33993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67968 and 67986. The biggest common factor number is the GCF number.
So the greatest common factor 67968 and 67986 is 18.

Also check out the Least Common Multiple of 67968 and 67986