What is the Greatest Common Factor of 38832 and 38850?

Greatest common factor (GCF) of 38832 and 38850 is 6.

GCF(38832,38850) = 6

We will now calculate the prime factors of 38832 and 38850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38832 and 38850.

How to find the GCF of 38832 and 38850?

We will first find the prime factorization of 38832 and 38850. After we will calculate the factors of 38832 and 38850 and find the biggest common factor number .

Step-1: Prime Factorization of 38832

Prime factors of 38832 are 2, 3, 809. Prime factorization of 38832 in exponential form is:

38832 = 2⁴ × 3¹ × 809¹

Step-2: 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-3: Factors of 38832

List of positive integer factors of 38832 that divides 38832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 809, 1618, 2427, 3236, 4854, 6472, 9708, 12944, 19416

Step-4: Factors of 38850

List of positive integer factors of 38850 that divides 38832 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38832 and 38850. The biggest common factor number is the GCF number.
So the greatest common factor 38832 and 38850 is 6.

Also check out the Least Common Multiple of 38832 and 38850