What is the Greatest Common Factor of 86569 and 86583?

Greatest common factor (GCF) of 86569 and 86583 is 7.

GCF(86569,86583) = 7

We will now calculate the prime factors of 86569 and 86583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86569 and 86583.

How to find the GCF of 86569 and 86583?

We will first find the prime factorization of 86569 and 86583. After we will calculate the factors of 86569 and 86583 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86583

Prime factors of 86583 are 3, 7, 19, 31. Prime factorization of 86583 in exponential form is:

86583 = 3¹ × 7² × 19¹ × 31¹

Step-3: Factors of 86569

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

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

Step-4: Factors of 86583

List of positive integer factors of 86583 that divides 86569 without a remainder.

1, 3, 7, 19, 21, 31, 49, 57, 93, 133, 147, 217, 399, 589, 651, 931, 1519, 1767, 2793, 4123, 4557, 12369, 28861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86569 and 86583. The biggest common factor number is the GCF number.
So the greatest common factor 86569 and 86583 is 7.

Also check out the Least Common Multiple of 86569 and 86583