What is the Greatest Common Factor of 770 and 786?

Greatest common factor (GCF) of 770 and 786 is 2.

GCF(770,786) = 2

We will now calculate the prime factors of 770 and 786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 770 and 786.

How to find the GCF of 770 and 786?

We will first find the prime factorization of 770 and 786. After we will calculate the factors of 770 and 786 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 786

Prime factors of 786 are 2, 3, 131. Prime factorization of 786 in exponential form is:

786 = 2¹ × 3¹ × 131¹

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 786

List of positive integer factors of 786 that divides 770 without a remainder.

1, 2, 3, 6, 131, 262, 393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 770 and 786. The biggest common factor number is the GCF number.
So the greatest common factor 770 and 786 is 2.

Also check out the Least Common Multiple of 770 and 786