What is the Greatest Common Factor of 38003 and 38014?

Greatest common factor (GCF) of 38003 and 38014 is 1.

GCF(38003,38014) = 1

We will now calculate the prime factors of 38003 and 38014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38003 and 38014.

How to find the GCF of 38003 and 38014?

We will first find the prime factorization of 38003 and 38014. After we will calculate the factors of 38003 and 38014 and find the biggest common factor number .

Step-1: Prime Factorization of 38003

Prime factors of 38003 are 7, 61, 89. Prime factorization of 38003 in exponential form is:

38003 = 7¹ × 61¹ × 89¹

Step-2: 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-3: Factors of 38003

List of positive integer factors of 38003 that divides 38003 without a remainder.

1, 7, 61, 89, 427, 623, 5429

Step-4: Factors of 38014

List of positive integer factors of 38014 that divides 38003 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38003 and 38014. The biggest common factor number is the GCF number.
So the greatest common factor 38003 and 38014 is 1.

Also check out the Least Common Multiple of 38003 and 38014