What is the Greatest Common Factor of 76780 and 76784?

Greatest common factor (GCF) of 76780 and 76784 is 4.

GCF(76780,76784) = 4

We will now calculate the prime factors of 76780 and 76784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76780 and 76784.

How to find the GCF of 76780 and 76784?

We will first find the prime factorization of 76780 and 76784. After we will calculate the factors of 76780 and 76784 and find the biggest common factor number .

Step-1: Prime Factorization of 76780

Prime factors of 76780 are 2, 5, 11, 349. Prime factorization of 76780 in exponential form is:

76780 = 2² × 5¹ × 11¹ × 349¹

Step-2: Prime Factorization of 76784

Prime factors of 76784 are 2, 4799. Prime factorization of 76784 in exponential form is:

76784 = 2⁴ × 4799¹

Step-3: Factors of 76780

List of positive integer factors of 76780 that divides 76780 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 349, 698, 1396, 1745, 3490, 3839, 6980, 7678, 15356, 19195, 38390

Step-4: Factors of 76784

List of positive integer factors of 76784 that divides 76780 without a remainder.

1, 2, 4, 8, 16, 4799, 9598, 19196, 38392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76780 and 76784. The biggest common factor number is the GCF number.
So the greatest common factor 76780 and 76784 is 4.

Also check out the Least Common Multiple of 76780 and 76784