What is the Greatest Common Factor of 27780 and 27800?

Greatest common factor (GCF) of 27780 and 27800 is 20.

GCF(27780,27800) = 20

We will now calculate the prime factors of 27780 and 27800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27780 and 27800.

How to find the GCF of 27780 and 27800?

We will first find the prime factorization of 27780 and 27800. After we will calculate the factors of 27780 and 27800 and find the biggest common factor number .

Step-1: Prime Factorization of 27780

Prime factors of 27780 are 2, 3, 5, 463. Prime factorization of 27780 in exponential form is:

27780 = 2² × 3¹ × 5¹ × 463¹

Step-2: Prime Factorization of 27800

Prime factors of 27800 are 2, 5, 139. Prime factorization of 27800 in exponential form is:

27800 = 2³ × 5² × 139¹

Step-3: Factors of 27780

List of positive integer factors of 27780 that divides 27780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 463, 926, 1389, 1852, 2315, 2778, 4630, 5556, 6945, 9260, 13890

Step-4: Factors of 27800

List of positive integer factors of 27800 that divides 27780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 556, 695, 1112, 1390, 2780, 3475, 5560, 6950, 13900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27780 and 27800. The biggest common factor number is the GCF number.
So the greatest common factor 27780 and 27800 is 20.

Also check out the Least Common Multiple of 27780 and 27800