What is the Greatest Common Factor of 68988 and 69000?

Greatest common factor (GCF) of 68988 and 69000 is 12.

GCF(68988,69000) = 12

We will now calculate the prime factors of 68988 and 69000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68988 and 69000.

How to find the GCF of 68988 and 69000?

We will first find the prime factorization of 68988 and 69000. After we will calculate the factors of 68988 and 69000 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 69000

Prime factors of 69000 are 2, 3, 5, 23. Prime factorization of 69000 in exponential form is:

69000 = 2³ × 3¹ × 5³ × 23¹

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 69000

List of positive integer factors of 69000 that divides 68988 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 25, 30, 40, 46, 50, 60, 69, 75, 92, 100, 115, 120, 125, 138, 150, 184, 200, 230, 250, 276, 300, 345, 375, 460, 500, 552, 575, 600, 690, 750, 920, 1000, 1150, 1380, 1500, 1725, 2300, 2760, 2875, 3000, 3450, 4600, 5750, 6900, 8625, 11500, 13800, 17250, 23000, 34500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68988 and 69000. The biggest common factor number is the GCF number.
So the greatest common factor 68988 and 69000 is 12.

Also check out the Least Common Multiple of 68988 and 69000