What is the Greatest Common Factor of 86523 and 86538?

Greatest common factor (GCF) of 86523 and 86538 is 3.

GCF(86523,86538) = 3

We will now calculate the prime factors of 86523 and 86538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86523 and 86538.

How to find the GCF of 86523 and 86538?

We will first find the prime factorization of 86523 and 86538. After we will calculate the factors of 86523 and 86538 and find the biggest common factor number .

Step-1: Prime Factorization of 86523

Prime factors of 86523 are 3, 151, 191. Prime factorization of 86523 in exponential form is:

86523 = 3¹ × 151¹ × 191¹

Step-2: Prime Factorization of 86538

Prime factors of 86538 are 2, 3, 14423. Prime factorization of 86538 in exponential form is:

86538 = 2¹ × 3¹ × 14423¹

Step-3: Factors of 86523

List of positive integer factors of 86523 that divides 86523 without a remainder.

1, 3, 151, 191, 453, 573, 28841

Step-4: Factors of 86538

List of positive integer factors of 86538 that divides 86523 without a remainder.

1, 2, 3, 6, 14423, 28846, 43269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86523 and 86538. The biggest common factor number is the GCF number.
So the greatest common factor 86523 and 86538 is 3.

Also check out the Least Common Multiple of 86523 and 86538