What is the Greatest Common Factor of 77709 and 77722?

Greatest common factor (GCF) of 77709 and 77722 is 1.

GCF(77709,77722) = 1

We will now calculate the prime factors of 77709 and 77722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77709 and 77722.

How to find the GCF of 77709 and 77722?

We will first find the prime factorization of 77709 and 77722. After we will calculate the factors of 77709 and 77722 and find the biggest common factor number .

Step-1: Prime Factorization of 77709

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

77709 = 3¹ × 25903¹

Step-2: Prime Factorization of 77722

Prime factors of 77722 are 2, 38861. Prime factorization of 77722 in exponential form is:

77722 = 2¹ × 38861¹

Step-3: Factors of 77709

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

1, 3, 25903

Step-4: Factors of 77722

List of positive integer factors of 77722 that divides 77709 without a remainder.

1, 2, 38861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77709 and 77722. The biggest common factor number is the GCF number.
So the greatest common factor 77709 and 77722 is 1.

Also check out the Least Common Multiple of 77709 and 77722