What is the Greatest Common Factor of 58860 and 58879?

Greatest common factor (GCF) of 58860 and 58879 is 1.

GCF(58860,58879) = 1

We will now calculate the prime factors of 58860 and 58879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58860 and 58879.

How to find the GCF of 58860 and 58879?

We will first find the prime factorization of 58860 and 58879. After we will calculate the factors of 58860 and 58879 and find the biggest common factor number .

Step-1: Prime Factorization of 58860

Prime factors of 58860 are 2, 3, 5, 109. Prime factorization of 58860 in exponential form is:

58860 = 2² × 3³ × 5¹ × 109¹

Step-2: Prime Factorization of 58879

Prime factors of 58879 are 97, 607. Prime factorization of 58879 in exponential form is:

58879 = 97¹ × 607¹

Step-3: Factors of 58860

List of positive integer factors of 58860 that divides 58860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 109, 135, 180, 218, 270, 327, 436, 540, 545, 654, 981, 1090, 1308, 1635, 1962, 2180, 2943, 3270, 3924, 4905, 5886, 6540, 9810, 11772, 14715, 19620, 29430

Step-4: Factors of 58879

List of positive integer factors of 58879 that divides 58860 without a remainder.

1, 97, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58860 and 58879. The biggest common factor number is the GCF number.
So the greatest common factor 58860 and 58879 is 1.

Also check out the Least Common Multiple of 58860 and 58879