What is the Greatest Common Factor of 86440 and 86460?

Greatest common factor (GCF) of 86440 and 86460 is 20.

GCF(86440,86460) = 20

We will now calculate the prime factors of 86440 and 86460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86440 and 86460.

How to find the GCF of 86440 and 86460?

We will first find the prime factorization of 86440 and 86460. After we will calculate the factors of 86440 and 86460 and find the biggest common factor number .

Step-1: Prime Factorization of 86440

Prime factors of 86440 are 2, 5, 2161. Prime factorization of 86440 in exponential form is:

86440 = 2³ × 5¹ × 2161¹

Step-2: Prime Factorization of 86460

Prime factors of 86460 are 2, 3, 5, 11, 131. Prime factorization of 86460 in exponential form is:

86460 = 2² × 3¹ × 5¹ × 11¹ × 131¹

Step-3: Factors of 86440

List of positive integer factors of 86440 that divides 86440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2161, 4322, 8644, 10805, 17288, 21610, 43220

Step-4: Factors of 86460

List of positive integer factors of 86460 that divides 86440 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 131, 132, 165, 220, 262, 330, 393, 524, 655, 660, 786, 1310, 1441, 1572, 1965, 2620, 2882, 3930, 4323, 5764, 7205, 7860, 8646, 14410, 17292, 21615, 28820, 43230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86440 and 86460. The biggest common factor number is the GCF number.
So the greatest common factor 86440 and 86460 is 20.

Also check out the Least Common Multiple of 86440 and 86460