What is the Greatest Common Factor of 70992 and 71012?

Greatest common factor (GCF) of 70992 and 71012 is 4.

GCF(70992,71012) = 4

We will now calculate the prime factors of 70992 and 71012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70992 and 71012.

How to find the GCF of 70992 and 71012?

We will first find the prime factorization of 70992 and 71012. After we will calculate the factors of 70992 and 71012 and find the biggest common factor number .

Step-1: Prime Factorization of 70992

Prime factors of 70992 are 2, 3, 17, 29. Prime factorization of 70992 in exponential form is:

70992 = 2⁴ × 3² × 17¹ × 29¹

Step-2: Prime Factorization of 71012

Prime factors of 71012 are 2, 41, 433. Prime factorization of 71012 in exponential form is:

71012 = 2² × 41¹ × 433¹

Step-3: Factors of 70992

List of positive integer factors of 70992 that divides 70992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 29, 34, 36, 48, 51, 58, 68, 72, 87, 102, 116, 136, 144, 153, 174, 204, 232, 261, 272, 306, 348, 408, 464, 493, 522, 612, 696, 816, 986, 1044, 1224, 1392, 1479, 1972, 2088, 2448, 2958, 3944, 4176, 4437, 5916, 7888, 8874, 11832, 17748, 23664, 35496

Step-4: Factors of 71012

List of positive integer factors of 71012 that divides 70992 without a remainder.

1, 2, 4, 41, 82, 164, 433, 866, 1732, 17753, 35506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70992 and 71012. The biggest common factor number is the GCF number.
So the greatest common factor 70992 and 71012 is 4.

Also check out the Least Common Multiple of 70992 and 71012