What is the Greatest Common Factor of 70314 and 70329?

Greatest common factor (GCF) of 70314 and 70329 is 3.

GCF(70314,70329) = 3

We will now calculate the prime factors of 70314 and 70329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70314 and 70329.

How to find the GCF of 70314 and 70329?

We will first find the prime factorization of 70314 and 70329. After we will calculate the factors of 70314 and 70329 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 70329

Prime factors of 70329 are 3, 7, 17, 197. Prime factorization of 70329 in exponential form is:

70329 = 3¹ × 7¹ × 17¹ × 197¹

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 70329

List of positive integer factors of 70329 that divides 70314 without a remainder.

1, 3, 7, 17, 21, 51, 119, 197, 357, 591, 1379, 3349, 4137, 10047, 23443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70314 and 70329. The biggest common factor number is the GCF number.
So the greatest common factor 70314 and 70329 is 3.

Also check out the Least Common Multiple of 70314 and 70329