What is the Greatest Common Factor of 38370 and 38388?

Greatest common factor (GCF) of 38370 and 38388 is 6.

GCF(38370,38388) = 6

We will now calculate the prime factors of 38370 and 38388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38370 and 38388.

How to find the GCF of 38370 and 38388?

We will first find the prime factorization of 38370 and 38388. After we will calculate the factors of 38370 and 38388 and find the biggest common factor number .

Step-1: Prime Factorization of 38370

Prime factors of 38370 are 2, 3, 5, 1279. Prime factorization of 38370 in exponential form is:

38370 = 2¹ × 3¹ × 5¹ × 1279¹

Step-2: Prime Factorization of 38388

Prime factors of 38388 are 2, 3, 7, 457. Prime factorization of 38388 in exponential form is:

38388 = 2² × 3¹ × 7¹ × 457¹

Step-3: Factors of 38370

List of positive integer factors of 38370 that divides 38370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1279, 2558, 3837, 6395, 7674, 12790, 19185

Step-4: Factors of 38388

List of positive integer factors of 38388 that divides 38370 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828, 2742, 3199, 5484, 6398, 9597, 12796, 19194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38370 and 38388. The biggest common factor number is the GCF number.
So the greatest common factor 38370 and 38388 is 6.

Also check out the Least Common Multiple of 38370 and 38388