What is the Greatest Common Factor of 70908 and 70916?

Greatest common factor (GCF) of 70908 and 70916 is 4.

GCF(70908,70916) = 4

We will now calculate the prime factors of 70908 and 70916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70908 and 70916.

How to find the GCF of 70908 and 70916?

We will first find the prime factorization of 70908 and 70916. After we will calculate the factors of 70908 and 70916 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 70916

Prime factors of 70916 are 2, 17729. Prime factorization of 70916 in exponential form is:

70916 = 2² × 17729¹

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 70916

List of positive integer factors of 70916 that divides 70908 without a remainder.

1, 2, 4, 17729, 35458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70908 and 70916. The biggest common factor number is the GCF number.
So the greatest common factor 70908 and 70916 is 4.

Also check out the Least Common Multiple of 70908 and 70916