What is the Greatest Common Factor of 27780 and 27792?

Greatest common factor (GCF) of 27780 and 27792 is 12.

GCF(27780,27792) = 12

We will now calculate the prime factors of 27780 and 27792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27780 and 27792.

How to find the GCF of 27780 and 27792?

We will first find the prime factorization of 27780 and 27792. After we will calculate the factors of 27780 and 27792 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 27792

Prime factors of 27792 are 2, 3, 193. Prime factorization of 27792 in exponential form is:

27792 = 2⁴ × 3² × 193¹

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 27792

List of positive integer factors of 27792 that divides 27780 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 193, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6948, 9264, 13896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27780 and 27792. The biggest common factor number is the GCF number.
So the greatest common factor 27780 and 27792 is 12.

Also check out the Least Common Multiple of 27780 and 27792