What is the Greatest Common Factor of 63071 and 63089?

Greatest common factor (GCF) of 63071 and 63089 is 1.

GCF(63071,63089) = 1

We will now calculate the prime factors of 63071 and 63089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63071 and 63089.

How to find the GCF of 63071 and 63089?

We will first find the prime factorization of 63071 and 63089. After we will calculate the factors of 63071 and 63089 and find the biggest common factor number .

Step-1: Prime Factorization of 63071

Prime factors of 63071 are 59, 1069. Prime factorization of 63071 in exponential form is:

63071 = 59¹ × 1069¹

Step-2: Prime Factorization of 63089

Prime factors of 63089 are 13, 23, 211. Prime factorization of 63089 in exponential form is:

63089 = 13¹ × 23¹ × 211¹

Step-3: Factors of 63071

List of positive integer factors of 63071 that divides 63071 without a remainder.

1, 59, 1069

Step-4: Factors of 63089

List of positive integer factors of 63089 that divides 63071 without a remainder.

1, 13, 23, 211, 299, 2743, 4853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63071 and 63089. The biggest common factor number is the GCF number.
So the greatest common factor 63071 and 63089 is 1.

Also check out the Least Common Multiple of 63071 and 63089