What is the Greatest Common Factor of 57998 and 58009?

Greatest common factor (GCF) of 57998 and 58009 is 1.

GCF(57998,58009) = 1

We will now calculate the prime factors of 57998 and 58009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57998 and 58009.

How to find the GCF of 57998 and 58009?

We will first find the prime factorization of 57998 and 58009. After we will calculate the factors of 57998 and 58009 and find the biggest common factor number .

Step-1: Prime Factorization of 57998

Prime factors of 57998 are 2, 47, 617. Prime factorization of 57998 in exponential form is:

57998 = 2¹ × 47¹ × 617¹

Step-2: Prime Factorization of 58009

Prime factors of 58009 are 7, 8287. Prime factorization of 58009 in exponential form is:

58009 = 7¹ × 8287¹

Step-3: Factors of 57998

List of positive integer factors of 57998 that divides 57998 without a remainder.

1, 2, 47, 94, 617, 1234, 28999

Step-4: Factors of 58009

List of positive integer factors of 58009 that divides 57998 without a remainder.

1, 7, 8287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57998 and 58009. The biggest common factor number is the GCF number.
So the greatest common factor 57998 and 58009 is 1.

Also check out the Least Common Multiple of 57998 and 58009