What is the Greatest Common Factor of 7085 and 7098?

Greatest common factor (GCF) of 7085 and 7098 is 13.

GCF(7085,7098) = 13

We will now calculate the prime factors of 7085 and 7098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7085 and 7098.

How to find the GCF of 7085 and 7098?

We will first find the prime factorization of 7085 and 7098. After we will calculate the factors of 7085 and 7098 and find the biggest common factor number .

Step-1: Prime Factorization of 7085

Prime factors of 7085 are 5, 13, 109. Prime factorization of 7085 in exponential form is:

7085 = 5¹ × 13¹ × 109¹

Step-2: Prime Factorization of 7098

Prime factors of 7098 are 2, 3, 7, 13. Prime factorization of 7098 in exponential form is:

7098 = 2¹ × 3¹ × 7¹ × 13²

Step-3: Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1, 5, 13, 65, 109, 545, 1417

Step-4: Factors of 7098

List of positive integer factors of 7098 that divides 7085 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7085 and 7098. The biggest common factor number is the GCF number.
So the greatest common factor 7085 and 7098 is 13.

Also check out the Least Common Multiple of 7085 and 7098