What is the Greatest Common Factor of 86469 and 86488?

Greatest common factor (GCF) of 86469 and 86488 is 19.

GCF(86469,86488) = 19

We will now calculate the prime factors of 86469 and 86488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86469 and 86488.

How to find the GCF of 86469 and 86488?

We will first find the prime factorization of 86469 and 86488. After we will calculate the factors of 86469 and 86488 and find the biggest common factor number .

Step-1: Prime Factorization of 86469

Prime factors of 86469 are 3, 19, 37, 41. Prime factorization of 86469 in exponential form is:

86469 = 3¹ × 19¹ × 37¹ × 41¹

Step-2: Prime Factorization of 86488

Prime factors of 86488 are 2, 19, 569. Prime factorization of 86488 in exponential form is:

86488 = 2³ × 19¹ × 569¹

Step-3: Factors of 86469

List of positive integer factors of 86469 that divides 86469 without a remainder.

1, 3, 19, 37, 41, 57, 111, 123, 703, 779, 1517, 2109, 2337, 4551, 28823

Step-4: Factors of 86488

List of positive integer factors of 86488 that divides 86469 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 569, 1138, 2276, 4552, 10811, 21622, 43244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86469 and 86488. The biggest common factor number is the GCF number.
So the greatest common factor 86469 and 86488 is 19.

Also check out the Least Common Multiple of 86469 and 86488