What is the Greatest Common Factor of 38700 and 38710?

Greatest common factor (GCF) of 38700 and 38710 is 10.

GCF(38700,38710) = 10

We will now calculate the prime factors of 38700 and 38710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38700 and 38710.

How to find the GCF of 38700 and 38710?

We will first find the prime factorization of 38700 and 38710. After we will calculate the factors of 38700 and 38710 and find the biggest common factor number .

Step-1: Prime Factorization of 38700

Prime factors of 38700 are 2, 3, 5, 43. Prime factorization of 38700 in exponential form is:

38700 = 2² × 3² × 5² × 43¹

Step-2: Prime Factorization of 38710

Prime factors of 38710 are 2, 5, 7, 79. Prime factorization of 38710 in exponential form is:

38710 = 2¹ × 5¹ × 7² × 79¹

Step-3: Factors of 38700

List of positive integer factors of 38700 that divides 38700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 43, 45, 50, 60, 75, 86, 90, 100, 129, 150, 172, 180, 215, 225, 258, 300, 387, 430, 450, 516, 645, 774, 860, 900, 1075, 1290, 1548, 1935, 2150, 2580, 3225, 3870, 4300, 6450, 7740, 9675, 12900, 19350

Step-4: Factors of 38710

List of positive integer factors of 38710 that divides 38700 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 79, 98, 158, 245, 395, 490, 553, 790, 1106, 2765, 3871, 5530, 7742, 19355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38700 and 38710. The biggest common factor number is the GCF number.
So the greatest common factor 38700 and 38710 is 10.

Also check out the Least Common Multiple of 38700 and 38710