What is the Greatest Common Factor of 2772 and 2783?

Greatest common factor (GCF) of 2772 and 2783 is 11.

GCF(2772,2783) = 11

We will now calculate the prime factors of 2772 and 2783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2772 and 2783.

How to find the GCF of 2772 and 2783?

We will first find the prime factorization of 2772 and 2783. After we will calculate the factors of 2772 and 2783 and find the biggest common factor number .

Step-1: Prime Factorization of 2772

Prime factors of 2772 are 2, 3, 7, 11. Prime factorization of 2772 in exponential form is:

2772 = 2² × 3² × 7¹ × 11¹

Step-2: Prime Factorization of 2783

Prime factors of 2783 are 11, 23. Prime factorization of 2783 in exponential form is:

2783 = 11² × 23¹

Step-3: Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386

Step-4: Factors of 2783

List of positive integer factors of 2783 that divides 2772 without a remainder.

1, 11, 23, 121, 253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2772 and 2783. The biggest common factor number is the GCF number.
So the greatest common factor 2772 and 2783 is 11.

Also check out the Least Common Multiple of 2772 and 2783