What is the Greatest Common Factor of 38550 and 38558?

Greatest common factor (GCF) of 38550 and 38558 is 2.

GCF(38550,38558) = 2

We will now calculate the prime factors of 38550 and 38558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38550 and 38558.

How to find the GCF of 38550 and 38558?

We will first find the prime factorization of 38550 and 38558. After we will calculate the factors of 38550 and 38558 and find the biggest common factor number .

Step-1: Prime Factorization of 38550

Prime factors of 38550 are 2, 3, 5, 257. Prime factorization of 38550 in exponential form is:

38550 = 2¹ × 3¹ × 5² × 257¹

Step-2: Prime Factorization of 38558

Prime factors of 38558 are 2, 13, 1483. Prime factorization of 38558 in exponential form is:

38558 = 2¹ × 13¹ × 1483¹

Step-3: Factors of 38550

List of positive integer factors of 38550 that divides 38550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 257, 514, 771, 1285, 1542, 2570, 3855, 6425, 7710, 12850, 19275

Step-4: Factors of 38558

List of positive integer factors of 38558 that divides 38550 without a remainder.

1, 2, 13, 26, 1483, 2966, 19279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38550 and 38558. The biggest common factor number is the GCF number.
So the greatest common factor 38550 and 38558 is 2.

Also check out the Least Common Multiple of 38550 and 38558