What is the Greatest Common Factor of 57984 and 58001?

Greatest common factor (GCF) of 57984 and 58001 is 1.

GCF(57984,58001) = 1

We will now calculate the prime factors of 57984 and 58001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57984 and 58001.

How to find the GCF of 57984 and 58001?

We will first find the prime factorization of 57984 and 58001. After we will calculate the factors of 57984 and 58001 and find the biggest common factor number .

Step-1: Prime Factorization of 57984

Prime factors of 57984 are 2, 3, 151. Prime factorization of 57984 in exponential form is:

57984 = 2⁷ × 3¹ × 151¹

Step-2: Prime Factorization of 58001

Prime factors of 58001 are 31, 1871. Prime factorization of 58001 in exponential form is:

58001 = 31¹ × 1871¹

Step-3: Factors of 57984

List of positive integer factors of 57984 that divides 57984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 151, 192, 302, 384, 453, 604, 906, 1208, 1812, 2416, 3624, 4832, 7248, 9664, 14496, 19328, 28992

Step-4: Factors of 58001

List of positive integer factors of 58001 that divides 57984 without a remainder.

1, 31, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57984 and 58001. The biggest common factor number is the GCF number.
So the greatest common factor 57984 and 58001 is 1.

Also check out the Least Common Multiple of 57984 and 58001