What is the Greatest Common Factor of 85342 and 85350?

Greatest common factor (GCF) of 85342 and 85350 is 2.

GCF(85342,85350) = 2

We will now calculate the prime factors of 85342 and 85350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85342 and 85350.

How to find the GCF of 85342 and 85350?

We will first find the prime factorization of 85342 and 85350. After we will calculate the factors of 85342 and 85350 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 85350

Prime factors of 85350 are 2, 3, 5, 569. Prime factorization of 85350 in exponential form is:

85350 = 2¹ × 3¹ × 5² × 569¹

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 85350

List of positive integer factors of 85350 that divides 85342 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 569, 1138, 1707, 2845, 3414, 5690, 8535, 14225, 17070, 28450, 42675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85342 and 85350. The biggest common factor number is the GCF number.
So the greatest common factor 85342 and 85350 is 2.

Also check out the Least Common Multiple of 85342 and 85350