What is the Greatest Common Factor of 83000 and 83010?

Greatest common factor (GCF) of 83000 and 83010 is 10.

GCF(83000,83010) = 10

We will now calculate the prime factors of 83000 and 83010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83000 and 83010.

How to find the GCF of 83000 and 83010?

We will first find the prime factorization of 83000 and 83010. After we will calculate the factors of 83000 and 83010 and find the biggest common factor number .

Step-1: Prime Factorization of 83000

Prime factors of 83000 are 2, 5, 83. Prime factorization of 83000 in exponential form is:

83000 = 2³ × 5³ × 83¹

Step-2: Prime Factorization of 83010

Prime factors of 83010 are 2, 3, 5, 2767. Prime factorization of 83010 in exponential form is:

83010 = 2¹ × 3¹ × 5¹ × 2767¹

Step-3: Factors of 83000

List of positive integer factors of 83000 that divides 83000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 83, 100, 125, 166, 200, 250, 332, 415, 500, 664, 830, 1000, 1660, 2075, 3320, 4150, 8300, 10375, 16600, 20750, 41500

Step-4: Factors of 83010

List of positive integer factors of 83010 that divides 83000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2767, 5534, 8301, 13835, 16602, 27670, 41505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83000 and 83010. The biggest common factor number is the GCF number.
So the greatest common factor 83000 and 83010 is 10.

Also check out the Least Common Multiple of 83000 and 83010