What is the Greatest Common Factor of 70814 and 70830?

Greatest common factor (GCF) of 70814 and 70830 is 2.

GCF(70814,70830) = 2

We will now calculate the prime factors of 70814 and 70830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70814 and 70830.

How to find the GCF of 70814 and 70830?

We will first find the prime factorization of 70814 and 70830. After we will calculate the factors of 70814 and 70830 and find the biggest common factor number .

Step-1: Prime Factorization of 70814

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

70814 = 2¹ × 35407¹

Step-2: Prime Factorization of 70830

Prime factors of 70830 are 2, 3, 5, 787. Prime factorization of 70830 in exponential form is:

70830 = 2¹ × 3² × 5¹ × 787¹

Step-3: Factors of 70814

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

1, 2, 35407

Step-4: Factors of 70830

List of positive integer factors of 70830 that divides 70814 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 787, 1574, 2361, 3935, 4722, 7083, 7870, 11805, 14166, 23610, 35415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70814 and 70830. The biggest common factor number is the GCF number.
So the greatest common factor 70814 and 70830 is 2.

Also check out the Least Common Multiple of 70814 and 70830