What is the Greatest Common Factor of 76987 and 77000?

Greatest common factor (GCF) of 76987 and 77000 is 1.

GCF(76987,77000) = 1

We will now calculate the prime factors of 76987 and 77000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76987 and 77000.

How to find the GCF of 76987 and 77000?

We will first find the prime factorization of 76987 and 77000. After we will calculate the factors of 76987 and 77000 and find the biggest common factor number .

Step-1: Prime Factorization of 76987

Prime factors of 76987 are 167, 461. Prime factorization of 76987 in exponential form is:

76987 = 167¹ × 461¹

Step-2: 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-3: Factors of 76987

List of positive integer factors of 76987 that divides 76987 without a remainder.

1, 167, 461

Step-4: Factors of 77000

List of positive integer factors of 77000 that divides 76987 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76987 and 77000. The biggest common factor number is the GCF number.
So the greatest common factor 76987 and 77000 is 1.

Also check out the Least Common Multiple of 76987 and 77000