What is the Greatest Common Factor of 83342 and 83350?

Greatest common factor (GCF) of 83342 and 83350 is 2.

GCF(83342,83350) = 2

We will now calculate the prime factors of 83342 and 83350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83342 and 83350.

How to find the GCF of 83342 and 83350?

We will first find the prime factorization of 83342 and 83350. After we will calculate the factors of 83342 and 83350 and find the biggest common factor number .

Step-1: Prime Factorization of 83342

Prime factors of 83342 are 2, 7, 5953. Prime factorization of 83342 in exponential form is:

83342 = 2¹ × 7¹ × 5953¹

Step-2: Prime Factorization of 83350

Prime factors of 83350 are 2, 5, 1667. Prime factorization of 83350 in exponential form is:

83350 = 2¹ × 5² × 1667¹

Step-3: Factors of 83342

List of positive integer factors of 83342 that divides 83342 without a remainder.

1, 2, 7, 14, 5953, 11906, 41671

Step-4: Factors of 83350

List of positive integer factors of 83350 that divides 83342 without a remainder.

1, 2, 5, 10, 25, 50, 1667, 3334, 8335, 16670, 41675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83342 and 83350. The biggest common factor number is the GCF number.
So the greatest common factor 83342 and 83350 is 2.

Also check out the Least Common Multiple of 83342 and 83350