What is the Greatest Common Factor of 58064 and 58070?

Greatest common factor (GCF) of 58064 and 58070 is 2.

GCF(58064,58070) = 2

We will now calculate the prime factors of 58064 and 58070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58064 and 58070.

How to find the GCF of 58064 and 58070?

We will first find the prime factorization of 58064 and 58070. After we will calculate the factors of 58064 and 58070 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 58070

Prime factors of 58070 are 2, 5, 5807. Prime factorization of 58070 in exponential form is:

58070 = 2¹ × 5¹ × 5807¹

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 58070

List of positive integer factors of 58070 that divides 58064 without a remainder.

1, 2, 5, 10, 5807, 11614, 29035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58064 and 58070. The biggest common factor number is the GCF number.
So the greatest common factor 58064 and 58070 is 2.

Also check out the Least Common Multiple of 58064 and 58070