What is the Greatest Common Factor of 70992 and 70999?

Greatest common factor (GCF) of 70992 and 70999 is 1.

GCF(70992,70999) = 1

We will now calculate the prime factors of 70992 and 70999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70992 and 70999.

How to find the GCF of 70992 and 70999?

We will first find the prime factorization of 70992 and 70999. After we will calculate the factors of 70992 and 70999 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 70999

Prime factors of 70999 are 70999. Prime factorization of 70999 in exponential form is:

70999 = 70999¹

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 70999

List of positive integer factors of 70999 that divides 70992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70992 and 70999. The biggest common factor number is the GCF number.
So the greatest common factor 70992 and 70999 is 1.

Also check out the Least Common Multiple of 70992 and 70999