What is the Greatest Common Factor of 77768 and 77782?

Greatest common factor (GCF) of 77768 and 77782 is 2.

GCF(77768,77782) = 2

We will now calculate the prime factors of 77768 and 77782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77768 and 77782.

How to find the GCF of 77768 and 77782?

We will first find the prime factorization of 77768 and 77782. After we will calculate the factors of 77768 and 77782 and find the biggest common factor number .

Step-1: Prime Factorization of 77768

Prime factors of 77768 are 2, 9721. Prime factorization of 77768 in exponential form is:

77768 = 2³ × 9721¹

Step-2: Prime Factorization of 77782

Prime factors of 77782 are 2, 38891. Prime factorization of 77782 in exponential form is:

77782 = 2¹ × 38891¹

Step-3: Factors of 77768

List of positive integer factors of 77768 that divides 77768 without a remainder.

1, 2, 4, 8, 9721, 19442, 38884

Step-4: Factors of 77782

List of positive integer factors of 77782 that divides 77768 without a remainder.

1, 2, 38891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77768 and 77782. The biggest common factor number is the GCF number.
So the greatest common factor 77768 and 77782 is 2.

Also check out the Least Common Multiple of 77768 and 77782