What is the Greatest Common Factor of 38029 and 38040?

Greatest common factor (GCF) of 38029 and 38040 is 1.

GCF(38029,38040) = 1

We will now calculate the prime factors of 38029 and 38040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38029 and 38040.

How to find the GCF of 38029 and 38040?

We will first find the prime factorization of 38029 and 38040. After we will calculate the factors of 38029 and 38040 and find the biggest common factor number .

Step-1: Prime Factorization of 38029

Prime factors of 38029 are 17, 2237. Prime factorization of 38029 in exponential form is:

38029 = 17¹ × 2237¹

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 38029

List of positive integer factors of 38029 that divides 38029 without a remainder.

1, 17, 2237

Step-4: Factors of 38040

List of positive integer factors of 38040 that divides 38029 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 38029 and 38040. The biggest common factor number is the GCF number.
So the greatest common factor 38029 and 38040 is 1.

Also check out the Least Common Multiple of 38029 and 38040