What is the Greatest Common Factor of 85342 and 85346?

Greatest common factor (GCF) of 85342 and 85346 is 2.

GCF(85342,85346) = 2

We will now calculate the prime factors of 85342 and 85346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85342 and 85346.

How to find the GCF of 85342 and 85346?

We will first find the prime factorization of 85342 and 85346. After we will calculate the factors of 85342 and 85346 and find the biggest common factor number .

Step-1: Prime Factorization of 85342

Prime factors of 85342 are 2, 71, 601. Prime factorization of 85342 in exponential form is:

85342 = 2¹ × 71¹ × 601¹

Step-2: Prime Factorization of 85346

Prime factors of 85346 are 2, 139, 307. Prime factorization of 85346 in exponential form is:

85346 = 2¹ × 139¹ × 307¹

Step-3: Factors of 85342

List of positive integer factors of 85342 that divides 85342 without a remainder.

1, 2, 71, 142, 601, 1202, 42671

Step-4: Factors of 85346

List of positive integer factors of 85346 that divides 85342 without a remainder.

1, 2, 139, 278, 307, 614, 42673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85342 and 85346. The biggest common factor number is the GCF number.
So the greatest common factor 85342 and 85346 is 2.

Also check out the Least Common Multiple of 85342 and 85346