What is the Greatest Common Factor of 38850 and 38860?

Greatest common factor (GCF) of 38850 and 38860 is 10.

GCF(38850,38860) = 10

We will now calculate the prime factors of 38850 and 38860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38850 and 38860.

How to find the GCF of 38850 and 38860?

We will first find the prime factorization of 38850 and 38860. After we will calculate the factors of 38850 and 38860 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 38860

Prime factors of 38860 are 2, 5, 29, 67. Prime factorization of 38860 in exponential form is:

38860 = 2² × 5¹ × 29¹ × 67¹

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 38860

List of positive integer factors of 38860 that divides 38850 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 67, 116, 134, 145, 268, 290, 335, 580, 670, 1340, 1943, 3886, 7772, 9715, 19430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38850 and 38860. The biggest common factor number is the GCF number.
So the greatest common factor 38850 and 38860 is 10.

Also check out the Least Common Multiple of 38850 and 38860