What is the Greatest Common Factor of 27807 and 27820?

Greatest common factor (GCF) of 27807 and 27820 is 13.

GCF(27807,27820) = 13

We will now calculate the prime factors of 27807 and 27820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27807 and 27820.

How to find the GCF of 27807 and 27820?

We will first find the prime factorization of 27807 and 27820. After we will calculate the factors of 27807 and 27820 and find the biggest common factor number .

Step-1: Prime Factorization of 27807

Prime factors of 27807 are 3, 13, 23, 31. Prime factorization of 27807 in exponential form is:

27807 = 3¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 27820

Prime factors of 27820 are 2, 5, 13, 107. Prime factorization of 27820 in exponential form is:

27820 = 2² × 5¹ × 13¹ × 107¹

Step-3: Factors of 27807

List of positive integer factors of 27807 that divides 27807 without a remainder.

1, 3, 13, 23, 31, 39, 69, 93, 299, 403, 713, 897, 1209, 2139, 9269

Step-4: Factors of 27820

List of positive integer factors of 27820 that divides 27807 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 107, 130, 214, 260, 428, 535, 1070, 1391, 2140, 2782, 5564, 6955, 13910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27807 and 27820. The biggest common factor number is the GCF number.
So the greatest common factor 27807 and 27820 is 13.

Also check out the Least Common Multiple of 27807 and 27820