What is the Greatest Common Factor of 86000 and 86010?

Greatest common factor (GCF) of 86000 and 86010 is 10.

GCF(86000,86010) = 10

We will now calculate the prime factors of 86000 and 86010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86000 and 86010.

How to find the GCF of 86000 and 86010?

We will first find the prime factorization of 86000 and 86010. After we will calculate the factors of 86000 and 86010 and find the biggest common factor number .

Step-1: Prime Factorization of 86000

Prime factors of 86000 are 2, 5, 43. Prime factorization of 86000 in exponential form is:

86000 = 2⁴ × 5³ × 43¹

Step-2: Prime Factorization of 86010

Prime factors of 86010 are 2, 3, 5, 47, 61. Prime factorization of 86010 in exponential form is:

86010 = 2¹ × 3¹ × 5¹ × 47¹ × 61¹

Step-3: Factors of 86000

List of positive integer factors of 86000 that divides 86000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 125, 172, 200, 215, 250, 344, 400, 430, 500, 688, 860, 1000, 1075, 1720, 2000, 2150, 3440, 4300, 5375, 8600, 10750, 17200, 21500, 43000

Step-4: Factors of 86010

List of positive integer factors of 86010 that divides 86000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 61, 94, 122, 141, 183, 235, 282, 305, 366, 470, 610, 705, 915, 1410, 1830, 2867, 5734, 8601, 14335, 17202, 28670, 43005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86000 and 86010. The biggest common factor number is the GCF number.
So the greatest common factor 86000 and 86010 is 10.

Also check out the Least Common Multiple of 86000 and 86010