What is the Greatest Common Factor of 38020 and 38040?

Greatest common factor (GCF) of 38020 and 38040 is 20.

GCF(38020,38040) = 20

We will now calculate the prime factors of 38020 and 38040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38020 and 38040.

How to find the GCF of 38020 and 38040?

We will first find the prime factorization of 38020 and 38040. After we will calculate the factors of 38020 and 38040 and find the biggest common factor number .

Step-1: Prime Factorization of 38020

Prime factors of 38020 are 2, 5, 1901. Prime factorization of 38020 in exponential form is:

38020 = 2² × 5¹ × 1901¹

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 38020

List of positive integer factors of 38020 that divides 38020 without a remainder.

1, 2, 4, 5, 10, 20, 1901, 3802, 7604, 9505, 19010

Step-4: Factors of 38040

List of positive integer factors of 38040 that divides 38020 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 38020 and 38040. The biggest common factor number is the GCF number.
So the greatest common factor 38020 and 38040 is 20.

Also check out the Least Common Multiple of 38020 and 38040