What is the Greatest Common Factor of 38430 and 38445?

Greatest common factor (GCF) of 38430 and 38445 is 15.

GCF(38430,38445) = 15

We will now calculate the prime factors of 38430 and 38445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38430 and 38445.

How to find the GCF of 38430 and 38445?

We will first find the prime factorization of 38430 and 38445. After we will calculate the factors of 38430 and 38445 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 38445

Prime factors of 38445 are 3, 5, 11, 233. Prime factorization of 38445 in exponential form is:

38445 = 3¹ × 5¹ × 11¹ × 233¹

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 38445

List of positive integer factors of 38445 that divides 38430 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 233, 699, 1165, 2563, 3495, 7689, 12815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38430 and 38445. The biggest common factor number is the GCF number.
So the greatest common factor 38430 and 38445 is 15.

Also check out the Least Common Multiple of 38430 and 38445