What is the Greatest Common Factor of 38850 and 38868?

Greatest common factor (GCF) of 38850 and 38868 is 6.

GCF(38850,38868) = 6

We will now calculate the prime factors of 38850 and 38868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38850 and 38868.

How to find the GCF of 38850 and 38868?

We will first find the prime factorization of 38850 and 38868. After we will calculate the factors of 38850 and 38868 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 38868

Prime factors of 38868 are 2, 3, 41, 79. Prime factorization of 38868 in exponential form is:

38868 = 2² × 3¹ × 41¹ × 79¹

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 38868

List of positive integer factors of 38868 that divides 38850 without a remainder.

1, 2, 3, 4, 6, 12, 41, 79, 82, 123, 158, 164, 237, 246, 316, 474, 492, 948, 3239, 6478, 9717, 12956, 19434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38850 and 38868. The biggest common factor number is the GCF number.
So the greatest common factor 38850 and 38868 is 6.

Also check out the Least Common Multiple of 38850 and 38868