What is the Greatest Common Factor of 70329 and 70347?

Greatest common factor (GCF) of 70329 and 70347 is 3.

GCF(70329,70347) = 3

We will now calculate the prime factors of 70329 and 70347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70329 and 70347.

How to find the GCF of 70329 and 70347?

We will first find the prime factorization of 70329 and 70347. After we will calculate the factors of 70329 and 70347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70347

Prime factors of 70347 are 3, 131, 179. Prime factorization of 70347 in exponential form is:

70347 = 3¹ × 131¹ × 179¹

Step-3: Factors of 70329

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

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

Step-4: Factors of 70347

List of positive integer factors of 70347 that divides 70329 without a remainder.

1, 3, 131, 179, 393, 537, 23449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70329 and 70347. The biggest common factor number is the GCF number.
So the greatest common factor 70329 and 70347 is 3.

Also check out the Least Common Multiple of 70329 and 70347