What is the Greatest Common Factor of 43769 and 43780?

Greatest common factor (GCF) of 43769 and 43780 is 11.

GCF(43769,43780) = 11

We will now calculate the prime factors of 43769 and 43780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43769 and 43780.

How to find the GCF of 43769 and 43780?

We will first find the prime factorization of 43769 and 43780. After we will calculate the factors of 43769 and 43780 and find the biggest common factor number .

Step-1: Prime Factorization of 43769

Prime factors of 43769 are 11, 23, 173. Prime factorization of 43769 in exponential form is:

43769 = 11¹ × 23¹ × 173¹

Step-2: Prime Factorization of 43780

Prime factors of 43780 are 2, 5, 11, 199. Prime factorization of 43780 in exponential form is:

43780 = 2² × 5¹ × 11¹ × 199¹

Step-3: Factors of 43769

List of positive integer factors of 43769 that divides 43769 without a remainder.

1, 11, 23, 173, 253, 1903, 3979

Step-4: Factors of 43780

List of positive integer factors of 43780 that divides 43769 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 199, 220, 398, 796, 995, 1990, 2189, 3980, 4378, 8756, 10945, 21890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43769 and 43780. The biggest common factor number is the GCF number.
So the greatest common factor 43769 and 43780 is 11.

Also check out the Least Common Multiple of 43769 and 43780