What is the Greatest Common Factor of 38014 and 38020?

Greatest common factor (GCF) of 38014 and 38020 is 2.

GCF(38014,38020) = 2

We will now calculate the prime factors of 38014 and 38020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38014 and 38020.

How to find the GCF of 38014 and 38020?

We will first find the prime factorization of 38014 and 38020. After we will calculate the factors of 38014 and 38020 and find the biggest common factor number .

Step-1: Prime Factorization of 38014

Prime factors of 38014 are 2, 83, 229. Prime factorization of 38014 in exponential form is:

38014 = 2¹ × 83¹ × 229¹

Step-2: 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-3: Factors of 38014

List of positive integer factors of 38014 that divides 38014 without a remainder.

1, 2, 83, 166, 229, 458, 19007

Step-4: Factors of 38020

List of positive integer factors of 38020 that divides 38014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38014 and 38020. The biggest common factor number is the GCF number.
So the greatest common factor 38014 and 38020 is 2.

Also check out the Least Common Multiple of 38014 and 38020