What is the Greatest Common Factor of 66145 and 66163?

Greatest common factor (GCF) of 66145 and 66163 is 1.

GCF(66145,66163) = 1

We will now calculate the prime factors of 66145 and 66163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66145 and 66163.

How to find the GCF of 66145 and 66163?

We will first find the prime factorization of 66145 and 66163. After we will calculate the factors of 66145 and 66163 and find the biggest common factor number .

Step-1: Prime Factorization of 66145

Prime factors of 66145 are 5, 13229. Prime factorization of 66145 in exponential form is:

66145 = 5¹ × 13229¹

Step-2: Prime Factorization of 66163

Prime factors of 66163 are 109, 607. Prime factorization of 66163 in exponential form is:

66163 = 109¹ × 607¹

Step-3: Factors of 66145

List of positive integer factors of 66145 that divides 66145 without a remainder.

1, 5, 13229

Step-4: Factors of 66163

List of positive integer factors of 66163 that divides 66145 without a remainder.

1, 109, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66145 and 66163. The biggest common factor number is the GCF number.
So the greatest common factor 66145 and 66163 is 1.

Also check out the Least Common Multiple of 66145 and 66163