What is the Greatest Common Factor of 68992 and 69006?

Greatest common factor (GCF) of 68992 and 69006 is 14.

GCF(68992,69006) = 14

We will now calculate the prime factors of 68992 and 69006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68992 and 69006.

How to find the GCF of 68992 and 69006?

We will first find the prime factorization of 68992 and 69006. After we will calculate the factors of 68992 and 69006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69006

Prime factors of 69006 are 2, 3, 7, 31, 53. Prime factorization of 69006 in exponential form is:

69006 = 2¹ × 3¹ × 7¹ × 31¹ × 53¹

Step-3: Factors of 68992

List of positive integer factors of 68992 that divides 68992 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

Step-4: Factors of 69006

List of positive integer factors of 69006 that divides 68992 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 53, 62, 93, 106, 159, 186, 217, 318, 371, 434, 651, 742, 1113, 1302, 1643, 2226, 3286, 4929, 9858, 11501, 23002, 34503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68992 and 69006. The biggest common factor number is the GCF number.
So the greatest common factor 68992 and 69006 is 14.

Also check out the Least Common Multiple of 68992 and 69006