What is the Greatest Common Factor of 28059 and 28077?

Greatest common factor (GCF) of 28059 and 28077 is 3.

GCF(28059,28077) = 3

We will now calculate the prime factors of 28059 and 28077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28059 and 28077.

How to find the GCF of 28059 and 28077?

We will first find the prime factorization of 28059 and 28077. After we will calculate the factors of 28059 and 28077 and find the biggest common factor number .

Step-1: Prime Factorization of 28059

Prime factors of 28059 are 3, 47, 199. Prime factorization of 28059 in exponential form is:

28059 = 3¹ × 47¹ × 199¹

Step-2: Prime Factorization of 28077

Prime factors of 28077 are 3, 7, 191. Prime factorization of 28077 in exponential form is:

28077 = 3¹ × 7² × 191¹

Step-3: Factors of 28059

List of positive integer factors of 28059 that divides 28059 without a remainder.

1, 3, 47, 141, 199, 597, 9353

Step-4: Factors of 28077

List of positive integer factors of 28077 that divides 28059 without a remainder.

1, 3, 7, 21, 49, 147, 191, 573, 1337, 4011, 9359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28059 and 28077. The biggest common factor number is the GCF number.
So the greatest common factor 28059 and 28077 is 3.

Also check out the Least Common Multiple of 28059 and 28077