What is the Greatest Common Factor of 38028 and 38040?

Greatest common factor (GCF) of 38028 and 38040 is 12.

GCF(38028,38040) = 12

We will now calculate the prime factors of 38028 and 38040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38028 and 38040.

How to find the GCF of 38028 and 38040?

We will first find the prime factorization of 38028 and 38040. After we will calculate the factors of 38028 and 38040 and find the biggest common factor number .

Step-1: Prime Factorization of 38028

Prime factors of 38028 are 2, 3, 3169. Prime factorization of 38028 in exponential form is:

38028 = 2² × 3¹ × 3169¹

Step-2: Prime Factorization of 38040

Prime factors of 38040 are 2, 3, 5, 317. Prime factorization of 38040 in exponential form is:

38040 = 2³ × 3¹ × 5¹ × 317¹

Step-3: Factors of 38028

List of positive integer factors of 38028 that divides 38028 without a remainder.

1, 2, 3, 4, 6, 12, 3169, 6338, 9507, 12676, 19014

Step-4: Factors of 38040

List of positive integer factors of 38040 that divides 38028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 6340, 7608, 9510, 12680, 19020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38028 and 38040. The biggest common factor number is the GCF number.
So the greatest common factor 38028 and 38040 is 12.

Also check out the Least Common Multiple of 38028 and 38040