What is the Greatest Common Factor of 38346 and 38350?

Greatest common factor (GCF) of 38346 and 38350 is 2.

GCF(38346,38350) = 2

We will now calculate the prime factors of 38346 and 38350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38346 and 38350.

How to find the GCF of 38346 and 38350?

We will first find the prime factorization of 38346 and 38350. After we will calculate the factors of 38346 and 38350 and find the biggest common factor number .

Step-1: Prime Factorization of 38346

Prime factors of 38346 are 2, 3, 7, 11, 83. Prime factorization of 38346 in exponential form is:

38346 = 2¹ × 3¹ × 7¹ × 11¹ × 83¹

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 38346

List of positive integer factors of 38346 that divides 38346 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 83, 154, 166, 231, 249, 462, 498, 581, 913, 1162, 1743, 1826, 2739, 3486, 5478, 6391, 12782, 19173

Step-4: Factors of 38350

List of positive integer factors of 38350 that divides 38346 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 38346 and 38350. The biggest common factor number is the GCF number.
So the greatest common factor 38346 and 38350 is 2.

Also check out the Least Common Multiple of 38346 and 38350