What is the Greatest Common Factor of 85084 and 85098?

Greatest common factor (GCF) of 85084 and 85098 is 2.

GCF(85084,85098) = 2

We will now calculate the prime factors of 85084 and 85098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85084 and 85098.

How to find the GCF of 85084 and 85098?

We will first find the prime factorization of 85084 and 85098. After we will calculate the factors of 85084 and 85098 and find the biggest common factor number .

Step-1: Prime Factorization of 85084

Prime factors of 85084 are 2, 89, 239. Prime factorization of 85084 in exponential form is:

85084 = 2² × 89¹ × 239¹

Step-2: Prime Factorization of 85098

Prime factors of 85098 are 2, 3, 13, 1091. Prime factorization of 85098 in exponential form is:

85098 = 2¹ × 3¹ × 13¹ × 1091¹

Step-3: Factors of 85084

List of positive integer factors of 85084 that divides 85084 without a remainder.

1, 2, 4, 89, 178, 239, 356, 478, 956, 21271, 42542

Step-4: Factors of 85098

List of positive integer factors of 85098 that divides 85084 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1091, 2182, 3273, 6546, 14183, 28366, 42549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85084 and 85098. The biggest common factor number is the GCF number.
So the greatest common factor 85084 and 85098 is 2.

Also check out the Least Common Multiple of 85084 and 85098