What is the Greatest Common Factor of 58848 and 58861?

Greatest common factor (GCF) of 58848 and 58861 is 1.

GCF(58848,58861) = 1

We will now calculate the prime factors of 58848 and 58861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58848 and 58861.

How to find the GCF of 58848 and 58861?

We will first find the prime factorization of 58848 and 58861. After we will calculate the factors of 58848 and 58861 and find the biggest common factor number .

Step-1: Prime Factorization of 58848

Prime factors of 58848 are 2, 3, 613. Prime factorization of 58848 in exponential form is:

58848 = 2⁵ × 3¹ × 613¹

Step-2: Prime Factorization of 58861

Prime factors of 58861 are 11, 5351. Prime factorization of 58861 in exponential form is:

58861 = 11¹ × 5351¹

Step-3: Factors of 58848

List of positive integer factors of 58848 that divides 58848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712, 19616, 29424

Step-4: Factors of 58861

List of positive integer factors of 58861 that divides 58848 without a remainder.

1, 11, 5351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58848 and 58861. The biggest common factor number is the GCF number.
So the greatest common factor 58848 and 58861 is 1.

Also check out the Least Common Multiple of 58848 and 58861