What is the Greatest Common Factor of 83490 and 83500?

Greatest common factor (GCF) of 83490 and 83500 is 10.

GCF(83490,83500) = 10

We will now calculate the prime factors of 83490 and 83500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83490 and 83500.

How to find the GCF of 83490 and 83500?

We will first find the prime factorization of 83490 and 83500. After we will calculate the factors of 83490 and 83500 and find the biggest common factor number .

Step-1: Prime Factorization of 83490

Prime factors of 83490 are 2, 3, 5, 11, 23. Prime factorization of 83490 in exponential form is:

83490 = 2¹ × 3¹ × 5¹ × 11² × 23¹

Step-2: Prime Factorization of 83500

Prime factors of 83500 are 2, 5, 167. Prime factorization of 83500 in exponential form is:

83500 = 2² × 5³ × 167¹

Step-3: Factors of 83490

List of positive integer factors of 83490 that divides 83490 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 121, 138, 165, 230, 242, 253, 330, 345, 363, 506, 605, 690, 726, 759, 1210, 1265, 1518, 1815, 2530, 2783, 3630, 3795, 5566, 7590, 8349, 13915, 16698, 27830, 41745

Step-4: Factors of 83500

List of positive integer factors of 83500 that divides 83490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 167, 250, 334, 500, 668, 835, 1670, 3340, 4175, 8350, 16700, 20875, 41750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83490 and 83500. The biggest common factor number is the GCF number.
So the greatest common factor 83490 and 83500 is 10.

Also check out the Least Common Multiple of 83490 and 83500