What is the Greatest Common Factor of 10059 and 10077?

Greatest common factor (GCF) of 10059 and 10077 is 3.

GCF(10059,10077) = 3

We will now calculate the prime factors of 10059 and 10077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10059 and 10077.

How to find the GCF of 10059 and 10077?

We will first find the prime factorization of 10059 and 10077. After we will calculate the factors of 10059 and 10077 and find the biggest common factor number .

Step-1: Prime Factorization of 10059

Prime factors of 10059 are 3, 7, 479. Prime factorization of 10059 in exponential form is:

10059 = 3¹ × 7¹ × 479¹

Step-2: Prime Factorization of 10077

Prime factors of 10077 are 3, 3359. Prime factorization of 10077 in exponential form is:

10077 = 3¹ × 3359¹

Step-3: Factors of 10059

List of positive integer factors of 10059 that divides 10059 without a remainder.

1, 3, 7, 21, 479, 1437, 3353

Step-4: Factors of 10077

List of positive integer factors of 10077 that divides 10059 without a remainder.

1, 3, 3359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10059 and 10077. The biggest common factor number is the GCF number.
So the greatest common factor 10059 and 10077 is 3.

Also check out the Least Common Multiple of 10059 and 10077