What is the Greatest Common Factor of 70326 and 70334?

Greatest common factor (GCF) of 70326 and 70334 is 2.

GCF(70326,70334) = 2

We will now calculate the prime factors of 70326 and 70334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70326 and 70334.

How to find the GCF of 70326 and 70334?

We will first find the prime factorization of 70326 and 70334. After we will calculate the factors of 70326 and 70334 and find the biggest common factor number .

Step-1: Prime Factorization of 70326

Prime factors of 70326 are 2, 3, 3907. Prime factorization of 70326 in exponential form is:

70326 = 2¹ × 3² × 3907¹

Step-2: Prime Factorization of 70334

Prime factors of 70334 are 2, 11, 23, 139. Prime factorization of 70334 in exponential form is:

70334 = 2¹ × 11¹ × 23¹ × 139¹

Step-3: Factors of 70326

List of positive integer factors of 70326 that divides 70326 without a remainder.

1, 2, 3, 6, 9, 18, 3907, 7814, 11721, 23442, 35163

Step-4: Factors of 70334

List of positive integer factors of 70334 that divides 70326 without a remainder.

1, 2, 11, 22, 23, 46, 139, 253, 278, 506, 1529, 3058, 3197, 6394, 35167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70326 and 70334. The biggest common factor number is the GCF number.
So the greatest common factor 70326 and 70334 is 2.

Also check out the Least Common Multiple of 70326 and 70334