What is the Greatest Common Factor of 1772 and 1782?

Greatest common factor (GCF) of 1772 and 1782 is 2.

GCF(1772,1782) = 2

We will now calculate the prime factors of 1772 and 1782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1772 and 1782.

How to find the GCF of 1772 and 1782?

We will first find the prime factorization of 1772 and 1782. After we will calculate the factors of 1772 and 1782 and find the biggest common factor number .

Step-1: Prime Factorization of 1772

Prime factors of 1772 are 2, 443. Prime factorization of 1772 in exponential form is:

1772 = 2² × 443¹

Step-2: Prime Factorization of 1782

Prime factors of 1782 are 2, 3, 11. Prime factorization of 1782 in exponential form is:

1782 = 2¹ × 3⁴ × 11¹

Step-3: Factors of 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1, 2, 4, 443, 886

Step-4: Factors of 1782

List of positive integer factors of 1782 that divides 1772 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1772 and 1782. The biggest common factor number is the GCF number.
So the greatest common factor 1772 and 1782 is 2.

Also check out the Least Common Multiple of 1772 and 1782