What is the Greatest Common Factor of 83010 and 83030?

Greatest common factor (GCF) of 83010 and 83030 is 10.

GCF(83010,83030) = 10

We will now calculate the prime factors of 83010 and 83030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83010 and 83030.

How to find the GCF of 83010 and 83030?

We will first find the prime factorization of 83010 and 83030. After we will calculate the factors of 83010 and 83030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83030

Prime factors of 83030 are 2, 5, 19, 23. Prime factorization of 83030 in exponential form is:

83030 = 2¹ × 5¹ × 19² × 23¹

Step-3: Factors of 83010

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

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

Step-4: Factors of 83030

List of positive integer factors of 83030 that divides 83010 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 361, 437, 722, 874, 1805, 2185, 3610, 4370, 8303, 16606, 41515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83010 and 83030. The biggest common factor number is the GCF number.
So the greatest common factor 83010 and 83030 is 10.

Also check out the Least Common Multiple of 83010 and 83030