What is the Greatest Common Factor of 58048 and 58064?

Greatest common factor (GCF) of 58048 and 58064 is 16.

GCF(58048,58064) = 16

We will now calculate the prime factors of 58048 and 58064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58048 and 58064.

How to find the GCF of 58048 and 58064?

We will first find the prime factorization of 58048 and 58064. After we will calculate the factors of 58048 and 58064 and find the biggest common factor number .

Step-1: Prime Factorization of 58048

Prime factors of 58048 are 2, 907. Prime factorization of 58048 in exponential form is:

58048 = 2⁶ × 907¹

Step-2: Prime Factorization of 58064

Prime factors of 58064 are 2, 19, 191. Prime factorization of 58064 in exponential form is:

58064 = 2⁴ × 19¹ × 191¹

Step-3: Factors of 58048

List of positive integer factors of 58048 that divides 58048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 907, 1814, 3628, 7256, 14512, 29024

Step-4: Factors of 58064

List of positive integer factors of 58064 that divides 58048 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 191, 304, 382, 764, 1528, 3056, 3629, 7258, 14516, 29032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58048 and 58064. The biggest common factor number is the GCF number.
So the greatest common factor 58048 and 58064 is 16.

Also check out the Least Common Multiple of 58048 and 58064