What is the Greatest Common Factor of 58831 and 58848?

Greatest common factor (GCF) of 58831 and 58848 is 1.

GCF(58831,58848) = 1

We will now calculate the prime factors of 58831 and 58848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58831 and 58848.

How to find the GCF of 58831 and 58848?

We will first find the prime factorization of 58831 and 58848. After we will calculate the factors of 58831 and 58848 and find the biggest common factor number .

Step-1: Prime Factorization of 58831

Prime factors of 58831 are 58831. Prime factorization of 58831 in exponential form is:

58831 = 58831¹

Step-2: 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-3: Factors of 58831

List of positive integer factors of 58831 that divides 58831 without a remainder.

Step-4: Factors of 58848

List of positive integer factors of 58848 that divides 58831 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58831 and 58848. The biggest common factor number is the GCF number.
So the greatest common factor 58831 and 58848 is 1.

Also check out the Least Common Multiple of 58831 and 58848