What is the Greatest Common Factor of 86658 and 86671?

Greatest common factor (GCF) of 86658 and 86671 is 13.

GCF(86658,86671) = 13

We will now calculate the prime factors of 86658 and 86671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86658 and 86671.

How to find the GCF of 86658 and 86671?

We will first find the prime factorization of 86658 and 86671. After we will calculate the factors of 86658 and 86671 and find the biggest common factor number .

Step-1: Prime Factorization of 86658

Prime factors of 86658 are 2, 3, 11, 13, 101. Prime factorization of 86658 in exponential form is:

86658 = 2¹ × 3¹ × 11¹ × 13¹ × 101¹

Step-2: Prime Factorization of 86671

Prime factors of 86671 are 13, 59, 113. Prime factorization of 86671 in exponential form is:

86671 = 13¹ × 59¹ × 113¹

Step-3: Factors of 86658

List of positive integer factors of 86658 that divides 86658 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 101, 143, 202, 286, 303, 429, 606, 858, 1111, 1313, 2222, 2626, 3333, 3939, 6666, 7878, 14443, 28886, 43329

Step-4: Factors of 86671

List of positive integer factors of 86671 that divides 86658 without a remainder.

1, 13, 59, 113, 767, 1469, 6667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86658 and 86671. The biggest common factor number is the GCF number.
So the greatest common factor 86658 and 86671 is 13.

Also check out the Least Common Multiple of 86658 and 86671