What is the Greatest Common Factor of 70992 and 71000?

Greatest common factor (GCF) of 70992 and 71000 is 8.

GCF(70992,71000) = 8

We will now calculate the prime factors of 70992 and 71000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70992 and 71000.

How to find the GCF of 70992 and 71000?

We will first find the prime factorization of 70992 and 71000. After we will calculate the factors of 70992 and 71000 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 71000

Prime factors of 71000 are 2, 5, 71. Prime factorization of 71000 in exponential form is:

71000 = 2³ × 5³ × 71¹

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 71000

List of positive integer factors of 71000 that divides 70992 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 125, 142, 200, 250, 284, 355, 500, 568, 710, 1000, 1420, 1775, 2840, 3550, 7100, 8875, 14200, 17750, 35500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70992 and 71000. The biggest common factor number is the GCF number.
So the greatest common factor 70992 and 71000 is 8.

Also check out the Least Common Multiple of 70992 and 71000