What is the Greatest Common Factor of 38330 and 38350?

Greatest common factor (GCF) of 38330 and 38350 is 10.

GCF(38330,38350) = 10

We will now calculate the prime factors of 38330 and 38350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38330 and 38350.

How to find the GCF of 38330 and 38350?

We will first find the prime factorization of 38330 and 38350. After we will calculate the factors of 38330 and 38350 and find the biggest common factor number .

Step-1: Prime Factorization of 38330

Prime factors of 38330 are 2, 5, 3833. Prime factorization of 38330 in exponential form is:

38330 = 2¹ × 5¹ × 3833¹

Step-2: Prime Factorization of 38350

Prime factors of 38350 are 2, 5, 13, 59. Prime factorization of 38350 in exponential form is:

38350 = 2¹ × 5² × 13¹ × 59¹

Step-3: Factors of 38330

List of positive integer factors of 38330 that divides 38330 without a remainder.

1, 2, 5, 10, 3833, 7666, 19165

Step-4: Factors of 38350

List of positive integer factors of 38350 that divides 38330 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 59, 65, 118, 130, 295, 325, 590, 650, 767, 1475, 1534, 2950, 3835, 7670, 19175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38330 and 38350. The biggest common factor number is the GCF number.
So the greatest common factor 38330 and 38350 is 10.

Also check out the Least Common Multiple of 38330 and 38350