What is the Greatest Common Factor of 68978 and 68992?

Greatest common factor (GCF) of 68978 and 68992 is 14.

GCF(68978,68992) = 14

We will now calculate the prime factors of 68978 and 68992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68978 and 68992.

How to find the GCF of 68978 and 68992?

We will first find the prime factorization of 68978 and 68992. After we will calculate the factors of 68978 and 68992 and find the biggest common factor number .

Step-1: Prime Factorization of 68978

Prime factors of 68978 are 2, 7, 13, 379. Prime factorization of 68978 in exponential form is:

68978 = 2¹ × 7¹ × 13¹ × 379¹

Step-2: Prime Factorization of 68992

Prime factors of 68992 are 2, 7, 11. Prime factorization of 68992 in exponential form is:

68992 = 2⁷ × 7² × 11¹

Step-3: Factors of 68978

List of positive integer factors of 68978 that divides 68978 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 379, 758, 2653, 4927, 5306, 9854, 34489

Step-4: Factors of 68992

List of positive integer factors of 68992 that divides 68978 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 64, 77, 88, 98, 112, 128, 154, 176, 196, 224, 308, 352, 392, 448, 539, 616, 704, 784, 896, 1078, 1232, 1408, 1568, 2156, 2464, 3136, 4312, 4928, 6272, 8624, 9856, 17248, 34496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68978 and 68992. The biggest common factor number is the GCF number.
So the greatest common factor 68978 and 68992 is 14.

Also check out the Least Common Multiple of 68978 and 68992