What is the Greatest Common Factor of 70816 and 70829?

Greatest common factor (GCF) of 70816 and 70829 is 1.

GCF(70816,70829) = 1

We will now calculate the prime factors of 70816 and 70829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70816 and 70829.

How to find the GCF of 70816 and 70829?

We will first find the prime factorization of 70816 and 70829. After we will calculate the factors of 70816 and 70829 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 70829

Prime factors of 70829 are 11, 47, 137. Prime factorization of 70829 in exponential form is:

70829 = 11¹ × 47¹ × 137¹

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 70829

List of positive integer factors of 70829 that divides 70816 without a remainder.

1, 11, 47, 137, 517, 1507, 6439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70816 and 70829. The biggest common factor number is the GCF number.
So the greatest common factor 70816 and 70829 is 1.

Also check out the Least Common Multiple of 70816 and 70829