What is the Greatest Common Factor of 78000 and 78006?

Greatest common factor (GCF) of 78000 and 78006 is 6.

GCF(78000,78006) = 6

We will now calculate the prime factors of 78000 and 78006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78000 and 78006.

How to find the GCF of 78000 and 78006?

We will first find the prime factorization of 78000 and 78006. After we will calculate the factors of 78000 and 78006 and find the biggest common factor number .

Step-1: Prime Factorization of 78000

Prime factors of 78000 are 2, 3, 5, 13. Prime factorization of 78000 in exponential form is:

78000 = 2⁴ × 3¹ × 5³ × 13¹

Step-2: Prime Factorization of 78006

Prime factors of 78006 are 2, 3, 13001. Prime factorization of 78006 in exponential form is:

78006 = 2¹ × 3¹ × 13001¹

Step-3: Factors of 78000

List of positive integer factors of 78000 that divides 78000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 25, 26, 30, 39, 40, 48, 50, 52, 60, 65, 75, 78, 80, 100, 104, 120, 125, 130, 150, 156, 195, 200, 208, 240, 250, 260, 300, 312, 325, 375, 390, 400, 500, 520, 600, 624, 650, 750, 780, 975, 1000, 1040, 1200, 1300, 1500, 1560, 1625, 1950, 2000, 2600, 3000, 3120, 3250, 3900, 4875, 5200, 6000, 6500, 7800, 9750, 13000, 15600, 19500, 26000, 39000

Step-4: Factors of 78006

List of positive integer factors of 78006 that divides 78000 without a remainder.

1, 2, 3, 6, 13001, 26002, 39003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78000 and 78006. The biggest common factor number is the GCF number.
So the greatest common factor 78000 and 78006 is 6.

Also check out the Least Common Multiple of 78000 and 78006