What is the Greatest Common Factor of 38342 and 38350?

Greatest common factor (GCF) of 38342 and 38350 is 2.

GCF(38342,38350) = 2

We will now calculate the prime factors of 38342 and 38350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38342 and 38350.

How to find the GCF of 38342 and 38350?

We will first find the prime factorization of 38342 and 38350. After we will calculate the factors of 38342 and 38350 and find the biggest common factor number .

Step-1: Prime Factorization of 38342

Prime factors of 38342 are 2, 19, 1009. Prime factorization of 38342 in exponential form is:

38342 = 2¹ × 19¹ × 1009¹

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 38342

List of positive integer factors of 38342 that divides 38342 without a remainder.

1, 2, 19, 38, 1009, 2018, 19171

Step-4: Factors of 38350

List of positive integer factors of 38350 that divides 38342 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 38342 and 38350. The biggest common factor number is the GCF number.
So the greatest common factor 38342 and 38350 is 2.

Also check out the Least Common Multiple of 38342 and 38350