What is the Greatest Common Factor of 78000 and 78005?

Greatest common factor (GCF) of 78000 and 78005 is 5.

GCF(78000,78005) = 5

We will now calculate the prime factors of 78000 and 78005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78000 and 78005.

How to find the GCF of 78000 and 78005?

We will first find the prime factorization of 78000 and 78005. After we will calculate the factors of 78000 and 78005 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 78005

Prime factors of 78005 are 5, 15601. Prime factorization of 78005 in exponential form is:

78005 = 5¹ × 15601¹

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 78005

List of positive integer factors of 78005 that divides 78000 without a remainder.

1, 5, 15601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78000 and 78005. The biggest common factor number is the GCF number.
So the greatest common factor 78000 and 78005 is 5.

Also check out the Least Common Multiple of 78000 and 78005