What is the Greatest Common Factor of 770 and 778?

Greatest common factor (GCF) of 770 and 778 is 2.

GCF(770,778) = 2

We will now calculate the prime factors of 770 and 778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 770 and 778.

How to find the GCF of 770 and 778?

We will first find the prime factorization of 770 and 778. After we will calculate the factors of 770 and 778 and find the biggest common factor number .

Step-1: Prime Factorization of 770

Prime factors of 770 are 2, 5, 7, 11. Prime factorization of 770 in exponential form is:

770 = 2¹ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 778

Prime factors of 778 are 2, 389. Prime factorization of 778 in exponential form is:

778 = 2¹ × 389¹

Step-3: Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385

Step-4: Factors of 778

List of positive integer factors of 778 that divides 770 without a remainder.

1, 2, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 770 and 778. The biggest common factor number is the GCF number.
So the greatest common factor 770 and 778 is 2.

Also check out the Least Common Multiple of 770 and 778