What is the Greatest Common Factor of 7774 and 7785?

Greatest common factor (GCF) of 7774 and 7785 is 1.

GCF(7774,7785) = 1

We will now calculate the prime factors of 7774 and 7785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7774 and 7785.

How to find the GCF of 7774 and 7785?

We will first find the prime factorization of 7774 and 7785. After we will calculate the factors of 7774 and 7785 and find the biggest common factor number .

Step-1: Prime Factorization of 7774

Prime factors of 7774 are 2, 13, 23. Prime factorization of 7774 in exponential form is:

7774 = 2¹ × 13² × 23¹

Step-2: Prime Factorization of 7785

Prime factors of 7785 are 3, 5, 173. Prime factorization of 7785 in exponential form is:

7785 = 3² × 5¹ × 173¹

Step-3: Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887

Step-4: Factors of 7785

List of positive integer factors of 7785 that divides 7774 without a remainder.

1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7774 and 7785. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7785 is 1.

Also check out the Least Common Multiple of 7774 and 7785