What is the Greatest Common Factor of 38430 and 38436?

Greatest common factor (GCF) of 38430 and 38436 is 6.

GCF(38430,38436) = 6

We will now calculate the prime factors of 38430 and 38436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38430 and 38436.

How to find the GCF of 38430 and 38436?

We will first find the prime factorization of 38430 and 38436. After we will calculate the factors of 38430 and 38436 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 38436

Prime factors of 38436 are 2, 3, 3203. Prime factorization of 38436 in exponential form is:

38436 = 2² × 3¹ × 3203¹

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 38436

List of positive integer factors of 38436 that divides 38430 without a remainder.

1, 2, 3, 4, 6, 12, 3203, 6406, 9609, 12812, 19218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38430 and 38436. The biggest common factor number is the GCF number.
So the greatest common factor 38430 and 38436 is 6.

Also check out the Least Common Multiple of 38430 and 38436