What is the Greatest Common Factor of 77698 and 77709?

Greatest common factor (GCF) of 77698 and 77709 is 1.

GCF(77698,77709) = 1

We will now calculate the prime factors of 77698 and 77709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77698 and 77709.

How to find the GCF of 77698 and 77709?

We will first find the prime factorization of 77698 and 77709. After we will calculate the factors of 77698 and 77709 and find the biggest common factor number .

Step-1: Prime Factorization of 77698

Prime factors of 77698 are 2, 53, 733. Prime factorization of 77698 in exponential form is:

77698 = 2¹ × 53¹ × 733¹

Step-2: Prime Factorization of 77709

Prime factors of 77709 are 3, 25903. Prime factorization of 77709 in exponential form is:

77709 = 3¹ × 25903¹

Step-3: Factors of 77698

List of positive integer factors of 77698 that divides 77698 without a remainder.

1, 2, 53, 106, 733, 1466, 38849

Step-4: Factors of 77709

List of positive integer factors of 77709 that divides 77698 without a remainder.

1, 3, 25903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77698 and 77709. The biggest common factor number is the GCF number.
So the greatest common factor 77698 and 77709 is 1.

Also check out the Least Common Multiple of 77698 and 77709