What is the Greatest Common Factor of 58064 and 58076?

Greatest common factor (GCF) of 58064 and 58076 is 4.

GCF(58064,58076) = 4

We will now calculate the prime factors of 58064 and 58076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58064 and 58076.

How to find the GCF of 58064 and 58076?

We will first find the prime factorization of 58064 and 58076. After we will calculate the factors of 58064 and 58076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58076

Prime factors of 58076 are 2, 14519. Prime factorization of 58076 in exponential form is:

58076 = 2² × 14519¹

Step-3: Factors of 58064

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

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

Step-4: Factors of 58076

List of positive integer factors of 58076 that divides 58064 without a remainder.

1, 2, 4, 14519, 29038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58064 and 58076. The biggest common factor number is the GCF number.
So the greatest common factor 58064 and 58076 is 4.

Also check out the Least Common Multiple of 58064 and 58076