What is the Greatest Common Factor of 86524 and 86530?

Greatest common factor (GCF) of 86524 and 86530 is 2.

GCF(86524,86530) = 2

We will now calculate the prime factors of 86524 and 86530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86524 and 86530.

How to find the GCF of 86524 and 86530?

We will first find the prime factorization of 86524 and 86530. After we will calculate the factors of 86524 and 86530 and find the biggest common factor number .

Step-1: Prime Factorization of 86524

Prime factors of 86524 are 2, 97, 223. Prime factorization of 86524 in exponential form is:

86524 = 2² × 97¹ × 223¹

Step-2: 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-3: Factors of 86524

List of positive integer factors of 86524 that divides 86524 without a remainder.

1, 2, 4, 97, 194, 223, 388, 446, 892, 21631, 43262

Step-4: Factors of 86530

List of positive integer factors of 86530 that divides 86524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86524 and 86530. The biggest common factor number is the GCF number.
So the greatest common factor 86524 and 86530 is 2.

Also check out the Least Common Multiple of 86524 and 86530