What is the Greatest Common Factor of 68988 and 69003?

Greatest common factor (GCF) of 68988 and 69003 is 3.

GCF(68988,69003) = 3

We will now calculate the prime factors of 68988 and 69003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68988 and 69003.

How to find the GCF of 68988 and 69003?

We will first find the prime factorization of 68988 and 69003. After we will calculate the factors of 68988 and 69003 and find the biggest common factor number .

Step-1: Prime Factorization of 68988

Prime factors of 68988 are 2, 3, 5749. Prime factorization of 68988 in exponential form is:

68988 = 2² × 3¹ × 5749¹

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 68988

List of positive integer factors of 68988 that divides 68988 without a remainder.

1, 2, 3, 4, 6, 12, 5749, 11498, 17247, 22996, 34494

Step-4: Factors of 69003

List of positive integer factors of 69003 that divides 68988 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 68988 and 69003. The biggest common factor number is the GCF number.
So the greatest common factor 68988 and 69003 is 3.

Also check out the Least Common Multiple of 68988 and 69003