What is the Greatest Common Factor of 85930 and 85945?

Greatest common factor (GCF) of 85930 and 85945 is 5.

GCF(85930,85945) = 5

We will now calculate the prime factors of 85930 and 85945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85930 and 85945.

How to find the GCF of 85930 and 85945?

We will first find the prime factorization of 85930 and 85945. After we will calculate the factors of 85930 and 85945 and find the biggest common factor number .

Step-1: Prime Factorization of 85930

Prime factors of 85930 are 2, 5, 13, 661. Prime factorization of 85930 in exponential form is:

85930 = 2¹ × 5¹ × 13¹ × 661¹

Step-2: Prime Factorization of 85945

Prime factors of 85945 are 5, 17189. Prime factorization of 85945 in exponential form is:

85945 = 5¹ × 17189¹

Step-3: Factors of 85930

List of positive integer factors of 85930 that divides 85930 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 661, 1322, 3305, 6610, 8593, 17186, 42965

Step-4: Factors of 85945

List of positive integer factors of 85945 that divides 85930 without a remainder.

1, 5, 17189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85930 and 85945. The biggest common factor number is the GCF number.
So the greatest common factor 85930 and 85945 is 5.

Also check out the Least Common Multiple of 85930 and 85945