What is the Greatest Common Factor of 85767 and 85777?

Greatest common factor (GCF) of 85767 and 85777 is 1.

GCF(85767,85777) = 1

We will now calculate the prime factors of 85767 and 85777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85767 and 85777.

How to find the GCF of 85767 and 85777?

We will first find the prime factorization of 85767 and 85777. After we will calculate the factors of 85767 and 85777 and find the biggest common factor number .

Step-1: Prime Factorization of 85767

Prime factors of 85767 are 3, 11, 23, 113. Prime factorization of 85767 in exponential form is:

85767 = 3¹ × 11¹ × 23¹ × 113¹

Step-2: Prime Factorization of 85777

Prime factors of 85777 are 31, 2767. Prime factorization of 85777 in exponential form is:

85777 = 31¹ × 2767¹

Step-3: Factors of 85767

List of positive integer factors of 85767 that divides 85767 without a remainder.

1, 3, 11, 23, 33, 69, 113, 253, 339, 759, 1243, 2599, 3729, 7797, 28589

Step-4: Factors of 85777

List of positive integer factors of 85777 that divides 85767 without a remainder.

1, 31, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85767 and 85777. The biggest common factor number is the GCF number.
So the greatest common factor 85767 and 85777 is 1.

Also check out the Least Common Multiple of 85767 and 85777