What is the Greatest Common Factor of 68985 and 69000?

Greatest common factor (GCF) of 68985 and 69000 is 15.

GCF(68985,69000) = 15

We will now calculate the prime factors of 68985 and 69000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68985 and 69000.

How to find the GCF of 68985 and 69000?

We will first find the prime factorization of 68985 and 69000. After we will calculate the factors of 68985 and 69000 and find the biggest common factor number .

Step-1: Prime Factorization of 68985

Prime factors of 68985 are 3, 5, 7, 73. Prime factorization of 68985 in exponential form is:

68985 = 3³ × 5¹ × 7¹ × 73¹

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 68985

List of positive integer factors of 68985 that divides 68985 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 73, 105, 135, 189, 219, 315, 365, 511, 657, 945, 1095, 1533, 1971, 2555, 3285, 4599, 7665, 9855, 13797, 22995

Step-4: Factors of 69000

List of positive integer factors of 69000 that divides 68985 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 68985 and 69000. The biggest common factor number is the GCF number.
So the greatest common factor 68985 and 69000 is 15.

Also check out the Least Common Multiple of 68985 and 69000