What is the Greatest Common Factor of 70906 and 70917?

Greatest common factor (GCF) of 70906 and 70917 is 11.

GCF(70906,70917) = 11

We will now calculate the prime factors of 70906 and 70917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70906 and 70917.

How to find the GCF of 70906 and 70917?

We will first find the prime factorization of 70906 and 70917. After we will calculate the factors of 70906 and 70917 and find the biggest common factor number .

Step-1: Prime Factorization of 70906

Prime factors of 70906 are 2, 11, 293. Prime factorization of 70906 in exponential form is:

70906 = 2¹ × 11² × 293¹

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 70906

List of positive integer factors of 70906 that divides 70906 without a remainder.

1, 2, 11, 22, 121, 242, 293, 586, 3223, 6446, 35453

Step-4: Factors of 70917

List of positive integer factors of 70917 that divides 70906 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 70906 and 70917. The biggest common factor number is the GCF number.
So the greatest common factor 70906 and 70917 is 11.

Also check out the Least Common Multiple of 70906 and 70917