What is the Greatest Common Factor of 38050 and 38066?

Greatest common factor (GCF) of 38050 and 38066 is 2.

GCF(38050,38066) = 2

We will now calculate the prime factors of 38050 and 38066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38050 and 38066.

How to find the GCF of 38050 and 38066?

We will first find the prime factorization of 38050 and 38066. After we will calculate the factors of 38050 and 38066 and find the biggest common factor number .

Step-1: Prime Factorization of 38050

Prime factors of 38050 are 2, 5, 761. Prime factorization of 38050 in exponential form is:

38050 = 2¹ × 5² × 761¹

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 38050

List of positive integer factors of 38050 that divides 38050 without a remainder.

1, 2, 5, 10, 25, 50, 761, 1522, 3805, 7610, 19025

Step-4: Factors of 38066

List of positive integer factors of 38066 that divides 38050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38050 and 38066. The biggest common factor number is the GCF number.
So the greatest common factor 38050 and 38066 is 2.

Also check out the Least Common Multiple of 38050 and 38066