What is the Greatest Common Factor of 70257 and 70268?

Greatest common factor (GCF) of 70257 and 70268 is 11.

GCF(70257,70268) = 11

We will now calculate the prime factors of 70257 and 70268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70257 and 70268.

How to find the GCF of 70257 and 70268?

We will first find the prime factorization of 70257 and 70268. After we will calculate the factors of 70257 and 70268 and find the biggest common factor number .

Step-1: Prime Factorization of 70257

Prime factors of 70257 are 3, 11, 2129. Prime factorization of 70257 in exponential form is:

70257 = 3¹ × 11¹ × 2129¹

Step-2: Prime Factorization of 70268

Prime factors of 70268 are 2, 11, 1597. Prime factorization of 70268 in exponential form is:

70268 = 2² × 11¹ × 1597¹

Step-3: Factors of 70257

List of positive integer factors of 70257 that divides 70257 without a remainder.

1, 3, 11, 33, 2129, 6387, 23419

Step-4: Factors of 70268

List of positive integer factors of 70268 that divides 70257 without a remainder.

1, 2, 4, 11, 22, 44, 1597, 3194, 6388, 17567, 35134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70257 and 70268. The biggest common factor number is the GCF number.
So the greatest common factor 70257 and 70268 is 11.

Also check out the Least Common Multiple of 70257 and 70268