What is the Greatest Common Factor of 38850 and 38865?

Greatest common factor (GCF) of 38850 and 38865 is 15.

GCF(38850,38865) = 15

We will now calculate the prime factors of 38850 and 38865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38850 and 38865.

How to find the GCF of 38850 and 38865?

We will first find the prime factorization of 38850 and 38865. After we will calculate the factors of 38850 and 38865 and find the biggest common factor number .

Step-1: Prime Factorization of 38850

Prime factors of 38850 are 2, 3, 5, 7, 37. Prime factorization of 38850 in exponential form is:

38850 = 2¹ × 3¹ × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 38865

Prime factors of 38865 are 3, 5, 2591. Prime factorization of 38865 in exponential form is:

38865 = 3¹ × 5¹ × 2591¹

Step-3: Factors of 38850

List of positive integer factors of 38850 that divides 38850 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 37, 42, 50, 70, 74, 75, 105, 111, 150, 175, 185, 210, 222, 259, 350, 370, 518, 525, 555, 777, 925, 1050, 1110, 1295, 1554, 1850, 2590, 2775, 3885, 5550, 6475, 7770, 12950, 19425

Step-4: Factors of 38865

List of positive integer factors of 38865 that divides 38850 without a remainder.

1, 3, 5, 15, 2591, 7773, 12955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38850 and 38865. The biggest common factor number is the GCF number.
So the greatest common factor 38850 and 38865 is 15.

Also check out the Least Common Multiple of 38850 and 38865