What is the Greatest Common Factor of 85694 and 85708?

Greatest common factor (GCF) of 85694 and 85708 is 14.

GCF(85694,85708) = 14

We will now calculate the prime factors of 85694 and 85708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85694 and 85708.

How to find the GCF of 85694 and 85708?

We will first find the prime factorization of 85694 and 85708. After we will calculate the factors of 85694 and 85708 and find the biggest common factor number .

Step-1: Prime Factorization of 85694

Prime factors of 85694 are 2, 7, 6121. Prime factorization of 85694 in exponential form is:

85694 = 2¹ × 7¹ × 6121¹

Step-2: Prime Factorization of 85708

Prime factors of 85708 are 2, 7, 3061. Prime factorization of 85708 in exponential form is:

85708 = 2² × 7¹ × 3061¹

Step-3: Factors of 85694

List of positive integer factors of 85694 that divides 85694 without a remainder.

1, 2, 7, 14, 6121, 12242, 42847

Step-4: Factors of 85708

List of positive integer factors of 85708 that divides 85694 without a remainder.

1, 2, 4, 7, 14, 28, 3061, 6122, 12244, 21427, 42854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85694 and 85708. The biggest common factor number is the GCF number.
So the greatest common factor 85694 and 85708 is 14.

Also check out the Least Common Multiple of 85694 and 85708