What is the Greatest Common Factor of 70975 and 70992?

Greatest common factor (GCF) of 70975 and 70992 is 17.

GCF(70975,70992) = 17

We will now calculate the prime factors of 70975 and 70992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70975 and 70992.

How to find the GCF of 70975 and 70992?

We will first find the prime factorization of 70975 and 70992. After we will calculate the factors of 70975 and 70992 and find the biggest common factor number .

Step-1: Prime Factorization of 70975

Prime factors of 70975 are 5, 17, 167. Prime factorization of 70975 in exponential form is:

70975 = 5² × 17¹ × 167¹

Step-2: 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-3: Factors of 70975

List of positive integer factors of 70975 that divides 70975 without a remainder.

1, 5, 17, 25, 85, 167, 425, 835, 2839, 4175, 14195

Step-4: Factors of 70992

List of positive integer factors of 70992 that divides 70975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70975 and 70992. The biggest common factor number is the GCF number.
So the greatest common factor 70975 and 70992 is 17.

Also check out the Least Common Multiple of 70975 and 70992