What is the Greatest Common Factor of 38260 and 38270?

Greatest common factor (GCF) of 38260 and 38270 is 10.

GCF(38260,38270) = 10

We will now calculate the prime factors of 38260 and 38270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38260 and 38270.

How to find the GCF of 38260 and 38270?

We will first find the prime factorization of 38260 and 38270. After we will calculate the factors of 38260 and 38270 and find the biggest common factor number .

Step-1: Prime Factorization of 38260

Prime factors of 38260 are 2, 5, 1913. Prime factorization of 38260 in exponential form is:

38260 = 2² × 5¹ × 1913¹

Step-2: Prime Factorization of 38270

Prime factors of 38270 are 2, 5, 43, 89. Prime factorization of 38270 in exponential form is:

38270 = 2¹ × 5¹ × 43¹ × 89¹

Step-3: Factors of 38260

List of positive integer factors of 38260 that divides 38260 without a remainder.

1, 2, 4, 5, 10, 20, 1913, 3826, 7652, 9565, 19130

Step-4: Factors of 38270

List of positive integer factors of 38270 that divides 38260 without a remainder.

1, 2, 5, 10, 43, 86, 89, 178, 215, 430, 445, 890, 3827, 7654, 19135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38260 and 38270. The biggest common factor number is the GCF number.
So the greatest common factor 38260 and 38270 is 10.

Also check out the Least Common Multiple of 38260 and 38270