What is the Greatest Common Factor of 43774 and 43780?

Greatest common factor (GCF) of 43774 and 43780 is 2.

GCF(43774,43780) = 2

We will now calculate the prime factors of 43774 and 43780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43774 and 43780.

How to find the GCF of 43774 and 43780?

We will first find the prime factorization of 43774 and 43780. After we will calculate the factors of 43774 and 43780 and find the biggest common factor number .

Step-1: Prime Factorization of 43774

Prime factors of 43774 are 2, 43, 509. Prime factorization of 43774 in exponential form is:

43774 = 2¹ × 43¹ × 509¹

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 43774

List of positive integer factors of 43774 that divides 43774 without a remainder.

1, 2, 43, 86, 509, 1018, 21887

Step-4: Factors of 43780

List of positive integer factors of 43780 that divides 43774 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 43774 and 43780. The biggest common factor number is the GCF number.
So the greatest common factor 43774 and 43780 is 2.

Also check out the Least Common Multiple of 43774 and 43780