What is the Greatest Common Factor of 86530 and 86550?

Greatest common factor (GCF) of 86530 and 86550 is 10.

GCF(86530,86550) = 10

We will now calculate the prime factors of 86530 and 86550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86530 and 86550.

How to find the GCF of 86530 and 86550?

We will first find the prime factorization of 86530 and 86550. After we will calculate the factors of 86530 and 86550 and find the biggest common factor number .

Step-1: Prime Factorization of 86530

Prime factors of 86530 are 2, 5, 17, 509. Prime factorization of 86530 in exponential form is:

86530 = 2¹ × 5¹ × 17¹ × 509¹

Step-2: Prime Factorization of 86550

Prime factors of 86550 are 2, 3, 5, 577. Prime factorization of 86550 in exponential form is:

86550 = 2¹ × 3¹ × 5² × 577¹

Step-3: Factors of 86530

List of positive integer factors of 86530 that divides 86530 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 509, 1018, 2545, 5090, 8653, 17306, 43265

Step-4: Factors of 86550

List of positive integer factors of 86550 that divides 86530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 577, 1154, 1731, 2885, 3462, 5770, 8655, 14425, 17310, 28850, 43275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86530 and 86550. The biggest common factor number is the GCF number.
So the greatest common factor 86530 and 86550 is 10.

Also check out the Least Common Multiple of 86530 and 86550