What is the Greatest Common Factor of 87000 and 87010?

Greatest common factor (GCF) of 87000 and 87010 is 10.

GCF(87000,87010) = 10

We will now calculate the prime factors of 87000 and 87010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87000 and 87010.

How to find the GCF of 87000 and 87010?

We will first find the prime factorization of 87000 and 87010. After we will calculate the factors of 87000 and 87010 and find the biggest common factor number .

Step-1: Prime Factorization of 87000

Prime factors of 87000 are 2, 3, 5, 29. Prime factorization of 87000 in exponential form is:

87000 = 2³ × 3¹ × 5³ × 29¹

Step-2: Prime Factorization of 87010

Prime factors of 87010 are 2, 5, 7, 11, 113. Prime factorization of 87010 in exponential form is:

87010 = 2¹ × 5¹ × 7¹ × 11¹ × 113¹

Step-3: Factors of 87000

List of positive integer factors of 87000 that divides 87000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 29, 30, 40, 50, 58, 60, 75, 87, 100, 116, 120, 125, 145, 150, 174, 200, 232, 250, 290, 300, 348, 375, 435, 500, 580, 600, 696, 725, 750, 870, 1000, 1160, 1450, 1500, 1740, 2175, 2900, 3000, 3480, 3625, 4350, 5800, 7250, 8700, 10875, 14500, 17400, 21750, 29000, 43500

Step-4: Factors of 87010

List of positive integer factors of 87010 that divides 87000 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 113, 154, 226, 385, 565, 770, 791, 1130, 1243, 1582, 2486, 3955, 6215, 7910, 8701, 12430, 17402, 43505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87000 and 87010. The biggest common factor number is the GCF number.
So the greatest common factor 87000 and 87010 is 10.

Also check out the Least Common Multiple of 87000 and 87010