What is the Greatest Common Factor of 38430 and 38443?

Greatest common factor (GCF) of 38430 and 38443 is 1.

GCF(38430,38443) = 1

We will now calculate the prime factors of 38430 and 38443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38430 and 38443.

How to find the GCF of 38430 and 38443?

We will first find the prime factorization of 38430 and 38443. After we will calculate the factors of 38430 and 38443 and find the biggest common factor number .

Step-1: Prime Factorization of 38430

Prime factors of 38430 are 2, 3, 5, 7, 61. Prime factorization of 38430 in exponential form is:

38430 = 2¹ × 3² × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 38443

Prime factors of 38443 are 37, 1039. Prime factorization of 38443 in exponential form is:

38443 = 37¹ × 1039¹

Step-3: Factors of 38430

List of positive integer factors of 38430 that divides 38430 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 61, 63, 70, 90, 105, 122, 126, 183, 210, 305, 315, 366, 427, 549, 610, 630, 854, 915, 1098, 1281, 1830, 2135, 2562, 2745, 3843, 4270, 5490, 6405, 7686, 12810, 19215

Step-4: Factors of 38443

List of positive integer factors of 38443 that divides 38430 without a remainder.

1, 37, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38430 and 38443. The biggest common factor number is the GCF number.
So the greatest common factor 38430 and 38443 is 1.

Also check out the Least Common Multiple of 38430 and 38443