What is the Greatest Common Factor of 75845 and 75860?

Greatest common factor (GCF) of 75845 and 75860 is 5.

GCF(75845,75860) = 5

We will now calculate the prime factors of 75845 and 75860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75845 and 75860.

How to find the GCF of 75845 and 75860?

We will first find the prime factorization of 75845 and 75860. After we will calculate the factors of 75845 and 75860 and find the biggest common factor number .

Step-1: Prime Factorization of 75845

Prime factors of 75845 are 5, 7, 11, 197. Prime factorization of 75845 in exponential form is:

75845 = 5¹ × 7¹ × 11¹ × 197¹

Step-2: Prime Factorization of 75860

Prime factors of 75860 are 2, 5, 3793. Prime factorization of 75860 in exponential form is:

75860 = 2² × 5¹ × 3793¹

Step-3: Factors of 75845

List of positive integer factors of 75845 that divides 75845 without a remainder.

1, 5, 7, 11, 35, 55, 77, 197, 385, 985, 1379, 2167, 6895, 10835, 15169

Step-4: Factors of 75860

List of positive integer factors of 75860 that divides 75845 without a remainder.

1, 2, 4, 5, 10, 20, 3793, 7586, 15172, 18965, 37930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75845 and 75860. The biggest common factor number is the GCF number.
So the greatest common factor 75845 and 75860 is 5.

Also check out the Least Common Multiple of 75845 and 75860