What is the Greatest Common Factor of 70314 and 70322?

Greatest common factor (GCF) of 70314 and 70322 is 2.

GCF(70314,70322) = 2

We will now calculate the prime factors of 70314 and 70322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70314 and 70322.

How to find the GCF of 70314 and 70322?

We will first find the prime factorization of 70314 and 70322. After we will calculate the factors of 70314 and 70322 and find the biggest common factor number .

Step-1: Prime Factorization of 70314

Prime factors of 70314 are 2, 3, 11719. Prime factorization of 70314 in exponential form is:

70314 = 2¹ × 3¹ × 11719¹

Step-2: Prime Factorization of 70322

Prime factors of 70322 are 2, 7, 5023. Prime factorization of 70322 in exponential form is:

70322 = 2¹ × 7¹ × 5023¹

Step-3: Factors of 70314

List of positive integer factors of 70314 that divides 70314 without a remainder.

1, 2, 3, 6, 11719, 23438, 35157

Step-4: Factors of 70322

List of positive integer factors of 70322 that divides 70314 without a remainder.

1, 2, 7, 14, 5023, 10046, 35161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70314 and 70322. The biggest common factor number is the GCF number.
So the greatest common factor 70314 and 70322 is 2.

Also check out the Least Common Multiple of 70314 and 70322