What is the Greatest Common Factor of 68992 and 69003?

Greatest common factor (GCF) of 68992 and 69003 is 11.

GCF(68992,69003) = 11

We will now calculate the prime factors of 68992 and 69003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68992 and 69003.

How to find the GCF of 68992 and 69003?

We will first find the prime factorization of 68992 and 69003. After we will calculate the factors of 68992 and 69003 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 69003

Prime factors of 69003 are 3, 11, 17, 41. Prime factorization of 69003 in exponential form is:

69003 = 3² × 11¹ × 17¹ × 41¹

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 69003

List of positive integer factors of 69003 that divides 68992 without a remainder.

1, 3, 9, 11, 17, 33, 41, 51, 99, 123, 153, 187, 369, 451, 561, 697, 1353, 1683, 2091, 4059, 6273, 7667, 23001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68992 and 69003. The biggest common factor number is the GCF number.
So the greatest common factor 68992 and 69003 is 11.

Also check out the Least Common Multiple of 68992 and 69003