What is the Greatest Common Factor of 77000 and 77017?

Greatest common factor (GCF) of 77000 and 77017 is 1.

GCF(77000,77017) = 1

We will now calculate the prime factors of 77000 and 77017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77000 and 77017.

How to find the GCF of 77000 and 77017?

We will first find the prime factorization of 77000 and 77017. After we will calculate the factors of 77000 and 77017 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 77017

Prime factors of 77017 are 77017. Prime factorization of 77017 in exponential form is:

77017 = 77017¹

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 77017

List of positive integer factors of 77017 that divides 77000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77000 and 77017. The biggest common factor number is the GCF number.
So the greatest common factor 77000 and 77017 is 1.

Also check out the Least Common Multiple of 77000 and 77017