What is the Greatest Common Factor of 85071 and 85085?

Greatest common factor (GCF) of 85071 and 85085 is 7.

GCF(85071,85085) = 7

We will now calculate the prime factors of 85071 and 85085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85071 and 85085.

How to find the GCF of 85071 and 85085?

We will first find the prime factorization of 85071 and 85085. After we will calculate the factors of 85071 and 85085 and find the biggest common factor number .

Step-1: Prime Factorization of 85071

Prime factors of 85071 are 3, 7, 4051. Prime factorization of 85071 in exponential form is:

85071 = 3¹ × 7¹ × 4051¹

Step-2: 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-3: Factors of 85071

List of positive integer factors of 85071 that divides 85071 without a remainder.

1, 3, 7, 21, 4051, 12153, 28357

Step-4: Factors of 85085

List of positive integer factors of 85085 that divides 85071 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85071 and 85085. The biggest common factor number is the GCF number.
So the greatest common factor 85071 and 85085 is 7.

Also check out the Least Common Multiple of 85071 and 85085