What is the Greatest Common Factor of 70816 and 70834?

Greatest common factor (GCF) of 70816 and 70834 is 2.

GCF(70816,70834) = 2

We will now calculate the prime factors of 70816 and 70834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70816 and 70834.

How to find the GCF of 70816 and 70834?

We will first find the prime factorization of 70816 and 70834. After we will calculate the factors of 70816 and 70834 and find the biggest common factor number .

Step-1: Prime Factorization of 70816

Prime factors of 70816 are 2, 2213. Prime factorization of 70816 in exponential form is:

70816 = 2⁵ × 2213¹

Step-2: 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-3: Factors of 70816

List of positive integer factors of 70816 that divides 70816 without a remainder.

1, 2, 4, 8, 16, 32, 2213, 4426, 8852, 17704, 35408

Step-4: Factors of 70834

List of positive integer factors of 70834 that divides 70816 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70816 and 70834. The biggest common factor number is the GCF number.
So the greatest common factor 70816 and 70834 is 2.

Also check out the Least Common Multiple of 70816 and 70834