What is the Greatest Common Factor of 66038 and 66058?

Greatest common factor (GCF) of 66038 and 66058 is 2.

GCF(66038,66058) = 2

We will now calculate the prime factors of 66038 and 66058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66038 and 66058.

How to find the GCF of 66038 and 66058?

We will first find the prime factorization of 66038 and 66058. After we will calculate the factors of 66038 and 66058 and find the biggest common factor number .

Step-1: Prime Factorization of 66038

Prime factors of 66038 are 2, 7, 53, 89. Prime factorization of 66038 in exponential form is:

66038 = 2¹ × 7¹ × 53¹ × 89¹

Step-2: Prime Factorization of 66058

Prime factors of 66058 are 2, 33029. Prime factorization of 66058 in exponential form is:

66058 = 2¹ × 33029¹

Step-3: Factors of 66038

List of positive integer factors of 66038 that divides 66038 without a remainder.

1, 2, 7, 14, 53, 89, 106, 178, 371, 623, 742, 1246, 4717, 9434, 33019

Step-4: Factors of 66058

List of positive integer factors of 66058 that divides 66038 without a remainder.

1, 2, 33029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66038 and 66058. The biggest common factor number is the GCF number.
So the greatest common factor 66038 and 66058 is 2.

Also check out the Least Common Multiple of 66038 and 66058