What is the Greatest Common Factor of 70810 and 70822?

Greatest common factor (GCF) of 70810 and 70822 is 2.

GCF(70810,70822) = 2

We will now calculate the prime factors of 70810 and 70822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70810 and 70822.

How to find the GCF of 70810 and 70822?

We will first find the prime factorization of 70810 and 70822. After we will calculate the factors of 70810 and 70822 and find the biggest common factor number .

Step-1: Prime Factorization of 70810

Prime factors of 70810 are 2, 5, 73, 97. Prime factorization of 70810 in exponential form is:

70810 = 2¹ × 5¹ × 73¹ × 97¹

Step-2: Prime Factorization of 70822

Prime factors of 70822 are 2, 17, 2083. Prime factorization of 70822 in exponential form is:

70822 = 2¹ × 17¹ × 2083¹

Step-3: Factors of 70810

List of positive integer factors of 70810 that divides 70810 without a remainder.

1, 2, 5, 10, 73, 97, 146, 194, 365, 485, 730, 970, 7081, 14162, 35405

Step-4: Factors of 70822

List of positive integer factors of 70822 that divides 70810 without a remainder.

1, 2, 17, 34, 2083, 4166, 35411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70810 and 70822. The biggest common factor number is the GCF number.
So the greatest common factor 70810 and 70822 is 2.

Also check out the Least Common Multiple of 70810 and 70822