What is the Greatest Common Factor of 86830 and 86840?

Greatest common factor (GCF) of 86830 and 86840 is 10.

GCF(86830,86840) = 10

We will now calculate the prime factors of 86830 and 86840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86830 and 86840.

How to find the GCF of 86830 and 86840?

We will first find the prime factorization of 86830 and 86840. After we will calculate the factors of 86830 and 86840 and find the biggest common factor number .

Step-1: Prime Factorization of 86830

Prime factors of 86830 are 2, 5, 19, 457. Prime factorization of 86830 in exponential form is:

86830 = 2¹ × 5¹ × 19¹ × 457¹

Step-2: Prime Factorization of 86840

Prime factors of 86840 are 2, 5, 13, 167. Prime factorization of 86840 in exponential form is:

86840 = 2³ × 5¹ × 13¹ × 167¹

Step-3: Factors of 86830

List of positive integer factors of 86830 that divides 86830 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 457, 914, 2285, 4570, 8683, 17366, 43415

Step-4: Factors of 86840

List of positive integer factors of 86840 that divides 86830 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 167, 260, 334, 520, 668, 835, 1336, 1670, 2171, 3340, 4342, 6680, 8684, 10855, 17368, 21710, 43420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86830 and 86840. The biggest common factor number is the GCF number.
So the greatest common factor 86830 and 86840 is 10.

Also check out the Least Common Multiple of 86830 and 86840