What is the Greatest Common Factor of 85085 and 85102?

Greatest common factor (GCF) of 85085 and 85102 is 17.

GCF(85085,85102) = 17

We will now calculate the prime factors of 85085 and 85102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85085 and 85102.

How to find the GCF of 85085 and 85102?

We will first find the prime factorization of 85085 and 85102. After we will calculate the factors of 85085 and 85102 and find the biggest common factor number .

Step-1: Prime Factorization of 85085

Prime factors of 85085 are 5, 7, 11, 13, 17. Prime factorization of 85085 in exponential form is:

85085 = 5¹ × 7¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 85102

Prime factors of 85102 are 2, 17, 2503. Prime factorization of 85102 in exponential form is:

85102 = 2¹ × 17¹ × 2503¹

Step-3: Factors of 85085

List of positive integer factors of 85085 that divides 85085 without a remainder.

1, 5, 7, 11, 13, 17, 35, 55, 65, 77, 85, 91, 119, 143, 187, 221, 385, 455, 595, 715, 935, 1001, 1105, 1309, 1547, 2431, 5005, 6545, 7735, 12155, 17017

Step-4: Factors of 85102

List of positive integer factors of 85102 that divides 85085 without a remainder.

1, 2, 17, 34, 2503, 5006, 42551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85085 and 85102. The biggest common factor number is the GCF number.
So the greatest common factor 85085 and 85102 is 17.

Also check out the Least Common Multiple of 85085 and 85102