What is the Greatest Common Factor of 86460 and 86470?

Greatest common factor (GCF) of 86460 and 86470 is 10.

GCF(86460,86470) = 10

We will now calculate the prime factors of 86460 and 86470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86460 and 86470.

How to find the GCF of 86460 and 86470?

We will first find the prime factorization of 86460 and 86470. After we will calculate the factors of 86460 and 86470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86470

Prime factors of 86470 are 2, 5, 8647. Prime factorization of 86470 in exponential form is:

86470 = 2¹ × 5¹ × 8647¹

Step-3: Factors of 86460

List of positive integer factors of 86460 that divides 86460 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

Step-4: Factors of 86470

List of positive integer factors of 86470 that divides 86460 without a remainder.

1, 2, 5, 10, 8647, 17294, 43235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86460 and 86470. The biggest common factor number is the GCF number.
So the greatest common factor 86460 and 86470 is 10.

Also check out the Least Common Multiple of 86460 and 86470