What is the Greatest Common Factor of 85682 and 85702?

Greatest common factor (GCF) of 85682 and 85702 is 2.

GCF(85682,85702) = 2

We will now calculate the prime factors of 85682 and 85702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85682 and 85702.

How to find the GCF of 85682 and 85702?

We will first find the prime factorization of 85682 and 85702. After we will calculate the factors of 85682 and 85702 and find the biggest common factor number .

Step-1: Prime Factorization of 85682

Prime factors of 85682 are 2, 42841. Prime factorization of 85682 in exponential form is:

85682 = 2¹ × 42841¹

Step-2: Prime Factorization of 85702

Prime factors of 85702 are 2, 73, 587. Prime factorization of 85702 in exponential form is:

85702 = 2¹ × 73¹ × 587¹

Step-3: Factors of 85682

List of positive integer factors of 85682 that divides 85682 without a remainder.

1, 2, 42841

Step-4: Factors of 85702

List of positive integer factors of 85702 that divides 85682 without a remainder.

1, 2, 73, 146, 587, 1174, 42851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85682 and 85702. The biggest common factor number is the GCF number.
So the greatest common factor 85682 and 85702 is 2.

Also check out the Least Common Multiple of 85682 and 85702