What is the Greatest Common Factor of 77741 and 77758?

Greatest common factor (GCF) of 77741 and 77758 is 17.

GCF(77741,77758) = 17

We will now calculate the prime factors of 77741 and 77758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77741 and 77758.

How to find the GCF of 77741 and 77758?

We will first find the prime factorization of 77741 and 77758. After we will calculate the factors of 77741 and 77758 and find the biggest common factor number .

Step-1: Prime Factorization of 77741

Prime factors of 77741 are 17, 269. Prime factorization of 77741 in exponential form is:

77741 = 17² × 269¹

Step-2: Prime Factorization of 77758

Prime factors of 77758 are 2, 17, 2287. Prime factorization of 77758 in exponential form is:

77758 = 2¹ × 17¹ × 2287¹

Step-3: Factors of 77741

List of positive integer factors of 77741 that divides 77741 without a remainder.

1, 17, 269, 289, 4573

Step-4: Factors of 77758

List of positive integer factors of 77758 that divides 77741 without a remainder.

1, 2, 17, 34, 2287, 4574, 38879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77741 and 77758. The biggest common factor number is the GCF number.
So the greatest common factor 77741 and 77758 is 17.

Also check out the Least Common Multiple of 77741 and 77758