What is the Greatest Common Factor of 86229 and 86248?

Greatest common factor (GCF) of 86229 and 86248 is 1.

GCF(86229,86248) = 1

We will now calculate the prime factors of 86229 and 86248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86229 and 86248.

How to find the GCF of 86229 and 86248?

We will first find the prime factorization of 86229 and 86248. After we will calculate the factors of 86229 and 86248 and find the biggest common factor number .

Step-1: Prime Factorization of 86229

Prime factors of 86229 are 3, 11, 13, 67. Prime factorization of 86229 in exponential form is:

86229 = 3² × 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 86248

Prime factors of 86248 are 2, 10781. Prime factorization of 86248 in exponential form is:

86248 = 2³ × 10781¹

Step-3: Factors of 86229

List of positive integer factors of 86229 that divides 86229 without a remainder.

1, 3, 9, 11, 13, 33, 39, 67, 99, 117, 143, 201, 429, 603, 737, 871, 1287, 2211, 2613, 6633, 7839, 9581, 28743

Step-4: Factors of 86248

List of positive integer factors of 86248 that divides 86229 without a remainder.

1, 2, 4, 8, 10781, 21562, 43124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86229 and 86248. The biggest common factor number is the GCF number.
So the greatest common factor 86229 and 86248 is 1.

Also check out the Least Common Multiple of 86229 and 86248