What is the Greatest Common Factor of 7760 and 7779?

Greatest common factor (GCF) of 7760 and 7779 is 1.

GCF(7760,7779) = 1

We will now calculate the prime factors of 7760 and 7779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7760 and 7779.

How to find the GCF of 7760 and 7779?

We will first find the prime factorization of 7760 and 7779. After we will calculate the factors of 7760 and 7779 and find the biggest common factor number .

Step-1: Prime Factorization of 7760

Prime factors of 7760 are 2, 5, 97. Prime factorization of 7760 in exponential form is:

7760 = 2⁴ × 5¹ × 97¹

Step-2: Prime Factorization of 7779

Prime factors of 7779 are 3, 2593. Prime factorization of 7779 in exponential form is:

7779 = 3¹ × 2593¹

Step-3: Factors of 7760

List of positive integer factors of 7760 that divides 7760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880

Step-4: Factors of 7779

List of positive integer factors of 7779 that divides 7760 without a remainder.

1, 3, 2593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7760 and 7779. The biggest common factor number is the GCF number.
So the greatest common factor 7760 and 7779 is 1.

Also check out the Least Common Multiple of 7760 and 7779