What is the Greatest Common Factor of 77000 and 77005?

Greatest common factor (GCF) of 77000 and 77005 is 5.

GCF(77000,77005) = 5

We will now calculate the prime factors of 77000 and 77005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77000 and 77005.

How to find the GCF of 77000 and 77005?

We will first find the prime factorization of 77000 and 77005. After we will calculate the factors of 77000 and 77005 and find the biggest common factor number .

Step-1: Prime Factorization of 77000

Prime factors of 77000 are 2, 5, 7, 11. Prime factorization of 77000 in exponential form is:

77000 = 2³ × 5³ × 7¹ × 11¹

Step-2: Prime Factorization of 77005

Prime factors of 77005 are 5, 15401. Prime factorization of 77005 in exponential form is:

77005 = 5¹ × 15401¹

Step-3: Factors of 77000

List of positive integer factors of 77000 that divides 77000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 25, 28, 35, 40, 44, 50, 55, 56, 70, 77, 88, 100, 110, 125, 140, 154, 175, 200, 220, 250, 275, 280, 308, 350, 385, 440, 500, 550, 616, 700, 770, 875, 1000, 1100, 1375, 1400, 1540, 1750, 1925, 2200, 2750, 3080, 3500, 3850, 5500, 7000, 7700, 9625, 11000, 15400, 19250, 38500

Step-4: Factors of 77005

List of positive integer factors of 77005 that divides 77000 without a remainder.

1, 5, 15401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77000 and 77005. The biggest common factor number is the GCF number.
So the greatest common factor 77000 and 77005 is 5.

Also check out the Least Common Multiple of 77000 and 77005