What is the Greatest Common Factor of 770 and 781?

Greatest common factor (GCF) of 770 and 781 is 11.

GCF(770,781) = 11

We will now calculate the prime factors of 770 and 781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 770 and 781.

How to find the GCF of 770 and 781?

We will first find the prime factorization of 770 and 781. After we will calculate the factors of 770 and 781 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 781

Prime factors of 781 are 11, 71. Prime factorization of 781 in exponential form is:

781 = 11¹ × 71¹

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 781

List of positive integer factors of 781 that divides 770 without a remainder.

1, 11, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 770 and 781. The biggest common factor number is the GCF number.
So the greatest common factor 770 and 781 is 11.

Also check out the Least Common Multiple of 770 and 781