What is the Greatest Common Factor of 1768 and 1781?

Greatest common factor (GCF) of 1768 and 1781 is 13.

GCF(1768,1781) = 13

We will now calculate the prime factors of 1768 and 1781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1768 and 1781.

How to find the GCF of 1768 and 1781?

We will first find the prime factorization of 1768 and 1781. After we will calculate the factors of 1768 and 1781 and find the biggest common factor number .

Step-1: Prime Factorization of 1768

Prime factors of 1768 are 2, 13, 17. Prime factorization of 1768 in exponential form is:

1768 = 2³ × 13¹ × 17¹

Step-2: Prime Factorization of 1781

Prime factors of 1781 are 13, 137. Prime factorization of 1781 in exponential form is:

1781 = 13¹ × 137¹

Step-3: Factors of 1768

List of positive integer factors of 1768 that divides 1768 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884

Step-4: Factors of 1781

List of positive integer factors of 1781 that divides 1768 without a remainder.

1, 13, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1768 and 1781. The biggest common factor number is the GCF number.
So the greatest common factor 1768 and 1781 is 13.

Also check out the Least Common Multiple of 1768 and 1781