What is the Greatest Common Factor of 76996 and 77000?

Greatest common factor (GCF) of 76996 and 77000 is 4.

GCF(76996,77000) = 4

We will now calculate the prime factors of 76996 and 77000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76996 and 77000.

How to find the GCF of 76996 and 77000?

We will first find the prime factorization of 76996 and 77000. After we will calculate the factors of 76996 and 77000 and find the biggest common factor number .

Step-1: Prime Factorization of 76996

Prime factors of 76996 are 2, 19249. Prime factorization of 76996 in exponential form is:

76996 = 2² × 19249¹

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 76996

List of positive integer factors of 76996 that divides 76996 without a remainder.

1, 2, 4, 19249, 38498

Step-4: Factors of 77000

List of positive integer factors of 77000 that divides 76996 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 76996 and 77000. The biggest common factor number is the GCF number.
So the greatest common factor 76996 and 77000 is 4.

Also check out the Least Common Multiple of 76996 and 77000