What is the Greatest Common Factor of 70908 and 70912?

Greatest common factor (GCF) of 70908 and 70912 is 4.

GCF(70908,70912) = 4

We will now calculate the prime factors of 70908 and 70912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70908 and 70912.

How to find the GCF of 70908 and 70912?

We will first find the prime factorization of 70908 and 70912. After we will calculate the factors of 70908 and 70912 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 70912

Prime factors of 70912 are 2, 277. Prime factorization of 70912 in exponential form is:

70912 = 2⁸ × 277¹

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 70912

List of positive integer factors of 70912 that divides 70908 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 277, 554, 1108, 2216, 4432, 8864, 17728, 35456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70908 and 70912. The biggest common factor number is the GCF number.
So the greatest common factor 70908 and 70912 is 4.

Also check out the Least Common Multiple of 70908 and 70912