What is the Greatest Common Factor of 85345 and 85360?

Greatest common factor (GCF) of 85345 and 85360 is 5.

GCF(85345,85360) = 5

We will now calculate the prime factors of 85345 and 85360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85345 and 85360.

How to find the GCF of 85345 and 85360?

We will first find the prime factorization of 85345 and 85360. After we will calculate the factors of 85345 and 85360 and find the biggest common factor number .

Step-1: Prime Factorization of 85345

Prime factors of 85345 are 5, 13, 101. Prime factorization of 85345 in exponential form is:

85345 = 5¹ × 13² × 101¹

Step-2: Prime Factorization of 85360

Prime factors of 85360 are 2, 5, 11, 97. Prime factorization of 85360 in exponential form is:

85360 = 2⁴ × 5¹ × 11¹ × 97¹

Step-3: Factors of 85345

List of positive integer factors of 85345 that divides 85345 without a remainder.

1, 5, 13, 65, 101, 169, 505, 845, 1313, 6565, 17069

Step-4: Factors of 85360

List of positive integer factors of 85360 that divides 85345 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 97, 110, 176, 194, 220, 388, 440, 485, 776, 880, 970, 1067, 1552, 1940, 2134, 3880, 4268, 5335, 7760, 8536, 10670, 17072, 21340, 42680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85345 and 85360. The biggest common factor number is the GCF number.
So the greatest common factor 85345 and 85360 is 5.

Also check out the Least Common Multiple of 85345 and 85360