What is the Greatest Common Factor of 70834 and 70850?

Greatest common factor (GCF) of 70834 and 70850 is 2.

GCF(70834,70850) = 2

We will now calculate the prime factors of 70834 and 70850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70834 and 70850.

How to find the GCF of 70834 and 70850?

We will first find the prime factorization of 70834 and 70850. After we will calculate the factors of 70834 and 70850 and find the biggest common factor number .

Step-1: Prime Factorization of 70834

Prime factors of 70834 are 2, 107, 331. Prime factorization of 70834 in exponential form is:

70834 = 2¹ × 107¹ × 331¹

Step-2: Prime Factorization of 70850

Prime factors of 70850 are 2, 5, 13, 109. Prime factorization of 70850 in exponential form is:

70850 = 2¹ × 5² × 13¹ × 109¹

Step-3: Factors of 70834

List of positive integer factors of 70834 that divides 70834 without a remainder.

1, 2, 107, 214, 331, 662, 35417

Step-4: Factors of 70850

List of positive integer factors of 70850 that divides 70834 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 109, 130, 218, 325, 545, 650, 1090, 1417, 2725, 2834, 5450, 7085, 14170, 35425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70834 and 70850. The biggest common factor number is the GCF number.
So the greatest common factor 70834 and 70850 is 2.

Also check out the Least Common Multiple of 70834 and 70850