What is the Greatest Common Factor of 38542 and 38550?

Greatest common factor (GCF) of 38542 and 38550 is 2.

GCF(38542,38550) = 2

We will now calculate the prime factors of 38542 and 38550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38542 and 38550.

How to find the GCF of 38542 and 38550?

We will first find the prime factorization of 38542 and 38550. After we will calculate the factors of 38542 and 38550 and find the biggest common factor number .

Step-1: Prime Factorization of 38542

Prime factors of 38542 are 2, 7, 2753. Prime factorization of 38542 in exponential form is:

38542 = 2¹ × 7¹ × 2753¹

Step-2: 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-3: Factors of 38542

List of positive integer factors of 38542 that divides 38542 without a remainder.

1, 2, 7, 14, 2753, 5506, 19271

Step-4: Factors of 38550

List of positive integer factors of 38550 that divides 38542 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38542 and 38550. The biggest common factor number is the GCF number.
So the greatest common factor 38542 and 38550 is 2.

Also check out the Least Common Multiple of 38542 and 38550