What is the Greatest Common Factor of 70909 and 70917?

Greatest common factor (GCF) of 70909 and 70917 is 1.

GCF(70909,70917) = 1

We will now calculate the prime factors of 70909 and 70917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70909 and 70917.

How to find the GCF of 70909 and 70917?

We will first find the prime factorization of 70909 and 70917. After we will calculate the factors of 70909 and 70917 and find the biggest common factor number .

Step-1: Prime Factorization of 70909

Prime factors of 70909 are 23, 3083. Prime factorization of 70909 in exponential form is:

70909 = 23¹ × 3083¹

Step-2: Prime Factorization of 70917

Prime factors of 70917 are 3, 7, 11, 307. Prime factorization of 70917 in exponential form is:

70917 = 3¹ × 7¹ × 11¹ × 307¹

Step-3: Factors of 70909

List of positive integer factors of 70909 that divides 70909 without a remainder.

1, 23, 3083

Step-4: Factors of 70917

List of positive integer factors of 70917 that divides 70909 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 307, 921, 2149, 3377, 6447, 10131, 23639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70909 and 70917. The biggest common factor number is the GCF number.
So the greatest common factor 70909 and 70917 is 1.

Also check out the Least Common Multiple of 70909 and 70917