What is the Greatest Common Factor of 85345 and 85358?

Greatest common factor (GCF) of 85345 and 85358 is 13.

GCF(85345,85358) = 13

We will now calculate the prime factors of 85345 and 85358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85345 and 85358.

How to find the GCF of 85345 and 85358?

We will first find the prime factorization of 85345 and 85358. After we will calculate the factors of 85345 and 85358 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 85358

Prime factors of 85358 are 2, 7, 13, 67. Prime factorization of 85358 in exponential form is:

85358 = 2¹ × 7² × 13¹ × 67¹

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 85358

List of positive integer factors of 85358 that divides 85345 without a remainder.

1, 2, 7, 13, 14, 26, 49, 67, 91, 98, 134, 182, 469, 637, 871, 938, 1274, 1742, 3283, 6097, 6566, 12194, 42679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85345 and 85358. The biggest common factor number is the GCF number.
So the greatest common factor 85345 and 85358 is 13.

Also check out the Least Common Multiple of 85345 and 85358