What is the Greatest Common Factor of 70798 and 70814?

Greatest common factor (GCF) of 70798 and 70814 is 2.

GCF(70798,70814) = 2

We will now calculate the prime factors of 70798 and 70814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70798 and 70814.

How to find the GCF of 70798 and 70814?

We will first find the prime factorization of 70798 and 70814. After we will calculate the factors of 70798 and 70814 and find the biggest common factor number .

Step-1: Prime Factorization of 70798

Prime factors of 70798 are 2, 7, 13, 389. Prime factorization of 70798 in exponential form is:

70798 = 2¹ × 7¹ × 13¹ × 389¹

Step-2: Prime Factorization of 70814

Prime factors of 70814 are 2, 35407. Prime factorization of 70814 in exponential form is:

70814 = 2¹ × 35407¹

Step-3: Factors of 70798

List of positive integer factors of 70798 that divides 70798 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 389, 778, 2723, 5057, 5446, 10114, 35399

Step-4: Factors of 70814

List of positive integer factors of 70814 that divides 70798 without a remainder.

1, 2, 35407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70798 and 70814. The biggest common factor number is the GCF number.
So the greatest common factor 70798 and 70814 is 2.

Also check out the Least Common Multiple of 70798 and 70814