What is the Greatest Common Factor of 77779 and 77787?

Greatest common factor (GCF) of 77779 and 77787 is 1.

GCF(77779,77787) = 1

We will now calculate the prime factors of 77779 and 77787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77779 and 77787.

How to find the GCF of 77779 and 77787?

We will first find the prime factorization of 77779 and 77787. After we will calculate the factors of 77779 and 77787 and find the biggest common factor number .

Step-1: Prime Factorization of 77779

Prime factors of 77779 are 13, 31, 193. Prime factorization of 77779 in exponential form is:

77779 = 13¹ × 31¹ × 193¹

Step-2: Prime Factorization of 77787

Prime factors of 77787 are 3, 43, 67. Prime factorization of 77787 in exponential form is:

77787 = 3³ × 43¹ × 67¹

Step-3: Factors of 77779

List of positive integer factors of 77779 that divides 77779 without a remainder.

1, 13, 31, 193, 403, 2509, 5983

Step-4: Factors of 77787

List of positive integer factors of 77787 that divides 77779 without a remainder.

1, 3, 9, 27, 43, 67, 129, 201, 387, 603, 1161, 1809, 2881, 8643, 25929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77779 and 77787. The biggest common factor number is the GCF number.
So the greatest common factor 77779 and 77787 is 1.

Also check out the Least Common Multiple of 77779 and 77787