What is the Greatest Common Factor of 70908 and 70927?

Greatest common factor (GCF) of 70908 and 70927 is 19.

GCF(70908,70927) = 19

We will now calculate the prime factors of 70908 and 70927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70908 and 70927.

How to find the GCF of 70908 and 70927?

We will first find the prime factorization of 70908 and 70927. After we will calculate the factors of 70908 and 70927 and find the biggest common factor number .

Step-1: Prime Factorization of 70908

Prime factors of 70908 are 2, 3, 19, 311. Prime factorization of 70908 in exponential form is:

70908 = 2² × 3¹ × 19¹ × 311¹

Step-2: Prime Factorization of 70927

Prime factors of 70927 are 19, 3733. Prime factorization of 70927 in exponential form is:

70927 = 19¹ × 3733¹

Step-3: Factors of 70908

List of positive integer factors of 70908 that divides 70908 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 311, 622, 933, 1244, 1866, 3732, 5909, 11818, 17727, 23636, 35454

Step-4: Factors of 70927

List of positive integer factors of 70927 that divides 70908 without a remainder.

1, 19, 3733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70908 and 70927. The biggest common factor number is the GCF number.
So the greatest common factor 70908 and 70927 is 19.

Also check out the Least Common Multiple of 70908 and 70927