What is the Greatest Common Factor of 1780 and 1796?

Greatest common factor (GCF) of 1780 and 1796 is 4.

GCF(1780,1796) = 4

We will now calculate the prime factors of 1780 and 1796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1780 and 1796.

How to find the GCF of 1780 and 1796?

We will first find the prime factorization of 1780 and 1796. After we will calculate the factors of 1780 and 1796 and find the biggest common factor number .

Step-1: Prime Factorization of 1780

Prime factors of 1780 are 2, 5, 89. Prime factorization of 1780 in exponential form is:

1780 = 2² × 5¹ × 89¹

Step-2: Prime Factorization of 1796

Prime factors of 1796 are 2, 449. Prime factorization of 1796 in exponential form is:

1796 = 2² × 449¹

Step-3: Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890

Step-4: Factors of 1796

List of positive integer factors of 1796 that divides 1780 without a remainder.

1, 2, 4, 449, 898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1780 and 1796. The biggest common factor number is the GCF number.
So the greatest common factor 1780 and 1796 is 4.

Also check out the Least Common Multiple of 1780 and 1796