What is the Greatest Common Factor of 86562 and 86569?

Greatest common factor (GCF) of 86562 and 86569 is 7.

GCF(86562,86569) = 7

We will now calculate the prime factors of 86562 and 86569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86562 and 86569.

How to find the GCF of 86562 and 86569?

We will first find the prime factorization of 86562 and 86569. After we will calculate the factors of 86562 and 86569 and find the biggest common factor number .

Step-1: Prime Factorization of 86562

Prime factors of 86562 are 2, 3, 7, 229. Prime factorization of 86562 in exponential form is:

86562 = 2¹ × 3³ × 7¹ × 229¹

Step-2: Prime Factorization of 86569

Prime factors of 86569 are 7, 83, 149. Prime factorization of 86569 in exponential form is:

86569 = 7¹ × 83¹ × 149¹

Step-3: Factors of 86562

List of positive integer factors of 86562 that divides 86562 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 229, 378, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 6183, 9618, 12366, 14427, 28854, 43281

Step-4: Factors of 86569

List of positive integer factors of 86569 that divides 86562 without a remainder.

1, 7, 83, 149, 581, 1043, 12367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86562 and 86569. The biggest common factor number is the GCF number.
So the greatest common factor 86562 and 86569 is 7.

Also check out the Least Common Multiple of 86562 and 86569