What is the Greatest Common Factor of 36058 and 36064?

Greatest common factor (GCF) of 36058 and 36064 is 2.

GCF(36058,36064) = 2

We will now calculate the prime factors of 36058 and 36064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36058 and 36064.

How to find the GCF of 36058 and 36064?

We will first find the prime factorization of 36058 and 36064. After we will calculate the factors of 36058 and 36064 and find the biggest common factor number .

Step-1: Prime Factorization of 36058

Prime factors of 36058 are 2, 11, 149. Prime factorization of 36058 in exponential form is:

36058 = 2¹ × 11² × 149¹

Step-2: Prime Factorization of 36064

Prime factors of 36064 are 2, 7, 23. Prime factorization of 36064 in exponential form is:

36064 = 2⁵ × 7² × 23¹

Step-3: Factors of 36058

List of positive integer factors of 36058 that divides 36058 without a remainder.

1, 2, 11, 22, 121, 149, 242, 298, 1639, 3278, 18029

Step-4: Factors of 36064

List of positive integer factors of 36064 that divides 36058 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 49, 56, 92, 98, 112, 161, 184, 196, 224, 322, 368, 392, 644, 736, 784, 1127, 1288, 1568, 2254, 2576, 4508, 5152, 9016, 18032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36058 and 36064. The biggest common factor number is the GCF number.
So the greatest common factor 36058 and 36064 is 2.

Also check out the Least Common Multiple of 36058 and 36064