What is the Greatest Common Factor of 66013 and 66031?

Greatest common factor (GCF) of 66013 and 66031 is 1.

GCF(66013,66031) = 1

We will now calculate the prime factors of 66013 and 66031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66013 and 66031.

How to find the GCF of 66013 and 66031?

We will first find the prime factorization of 66013 and 66031. After we will calculate the factors of 66013 and 66031 and find the biggest common factor number .

Step-1: Prime Factorization of 66013

Prime factors of 66013 are 251, 263. Prime factorization of 66013 in exponential form is:

66013 = 251¹ × 263¹

Step-2: Prime Factorization of 66031

Prime factors of 66031 are 7, 9433. Prime factorization of 66031 in exponential form is:

66031 = 7¹ × 9433¹

Step-3: Factors of 66013

List of positive integer factors of 66013 that divides 66013 without a remainder.

1, 251, 263

Step-4: Factors of 66031

List of positive integer factors of 66031 that divides 66013 without a remainder.

1, 7, 9433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66013 and 66031. The biggest common factor number is the GCF number.
So the greatest common factor 66013 and 66031 is 1.

Also check out the Least Common Multiple of 66013 and 66031