What is the Greatest Common Factor of 58064 and 58074?

Greatest common factor (GCF) of 58064 and 58074 is 2.

GCF(58064,58074) = 2

We will now calculate the prime factors of 58064 and 58074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58064 and 58074.

How to find the GCF of 58064 and 58074?

We will first find the prime factorization of 58064 and 58074. After we will calculate the factors of 58064 and 58074 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 58074

Prime factors of 58074 are 2, 3, 9679. Prime factorization of 58074 in exponential form is:

58074 = 2¹ × 3¹ × 9679¹

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 58074

List of positive integer factors of 58074 that divides 58064 without a remainder.

1, 2, 3, 6, 9679, 19358, 29037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58064 and 58074. The biggest common factor number is the GCF number.
So the greatest common factor 58064 and 58074 is 2.

Also check out the Least Common Multiple of 58064 and 58074