What is the Greatest Common Factor of 66058 and 66070?

Greatest common factor (GCF) of 66058 and 66070 is 2.

GCF(66058,66070) = 2

We will now calculate the prime factors of 66058 and 66070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66058 and 66070.

How to find the GCF of 66058 and 66070?

We will first find the prime factorization of 66058 and 66070. After we will calculate the factors of 66058 and 66070 and find the biggest common factor number .

Step-1: Prime Factorization of 66058

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

66058 = 2¹ × 33029¹

Step-2: Prime Factorization of 66070

Prime factors of 66070 are 2, 5, 6607. Prime factorization of 66070 in exponential form is:

66070 = 2¹ × 5¹ × 6607¹

Step-3: Factors of 66058

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

1, 2, 33029

Step-4: Factors of 66070

List of positive integer factors of 66070 that divides 66058 without a remainder.

1, 2, 5, 10, 6607, 13214, 33035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66058 and 66070. The biggest common factor number is the GCF number.
So the greatest common factor 66058 and 66070 is 2.

Also check out the Least Common Multiple of 66058 and 66070