What is the Greatest Common Factor of 85778 and 85789?

Greatest common factor (GCF) of 85778 and 85789 is 11.

GCF(85778,85789) = 11

We will now calculate the prime factors of 85778 and 85789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85778 and 85789.

How to find the GCF of 85778 and 85789?

We will first find the prime factorization of 85778 and 85789. After we will calculate the factors of 85778 and 85789 and find the biggest common factor number .

Step-1: Prime Factorization of 85778

Prime factors of 85778 are 2, 7, 11, 557. Prime factorization of 85778 in exponential form is:

85778 = 2¹ × 7¹ × 11¹ × 557¹

Step-2: Prime Factorization of 85789

Prime factors of 85789 are 11, 709. Prime factorization of 85789 in exponential form is:

85789 = 11² × 709¹

Step-3: Factors of 85778

List of positive integer factors of 85778 that divides 85778 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 557, 1114, 3899, 6127, 7798, 12254, 42889

Step-4: Factors of 85789

List of positive integer factors of 85789 that divides 85778 without a remainder.

1, 11, 121, 709, 7799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85778 and 85789. The biggest common factor number is the GCF number.
So the greatest common factor 85778 and 85789 is 11.

Also check out the Least Common Multiple of 85778 and 85789