What is the Greatest Common Factor of 38059 and 38066?

Greatest common factor (GCF) of 38059 and 38066 is 7.

GCF(38059,38066) = 7

We will now calculate the prime factors of 38059 and 38066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38059 and 38066.

How to find the GCF of 38059 and 38066?

We will first find the prime factorization of 38059 and 38066. After we will calculate the factors of 38059 and 38066 and find the biggest common factor number .

Step-1: Prime Factorization of 38059

Prime factors of 38059 are 7, 5437. Prime factorization of 38059 in exponential form is:

38059 = 7¹ × 5437¹

Step-2: Prime Factorization of 38066

Prime factors of 38066 are 2, 7, 2719. Prime factorization of 38066 in exponential form is:

38066 = 2¹ × 7¹ × 2719¹

Step-3: Factors of 38059

List of positive integer factors of 38059 that divides 38059 without a remainder.

1, 7, 5437

Step-4: Factors of 38066

List of positive integer factors of 38066 that divides 38059 without a remainder.

1, 2, 7, 14, 2719, 5438, 19033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38059 and 38066. The biggest common factor number is the GCF number.
So the greatest common factor 38059 and 38066 is 7.

Also check out the Least Common Multiple of 38059 and 38066