What is the Greatest Common Factor of 58832 and 58848?

Greatest common factor (GCF) of 58832 and 58848 is 16.

GCF(58832,58848) = 16

We will now calculate the prime factors of 58832 and 58848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58832 and 58848.

How to find the GCF of 58832 and 58848?

We will first find the prime factorization of 58832 and 58848. After we will calculate the factors of 58832 and 58848 and find the biggest common factor number .

Step-1: Prime Factorization of 58832

Prime factors of 58832 are 2, 3677. Prime factorization of 58832 in exponential form is:

58832 = 2⁴ × 3677¹

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 58832

List of positive integer factors of 58832 that divides 58832 without a remainder.

1, 2, 4, 8, 16, 3677, 7354, 14708, 29416

Step-4: Factors of 58848

List of positive integer factors of 58848 that divides 58832 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 58832 and 58848. The biggest common factor number is the GCF number.
So the greatest common factor 58832 and 58848 is 16.

Also check out the Least Common Multiple of 58832 and 58848