What is the Greatest Common Factor of 87164 and 87178?

Greatest common factor (GCF) of 87164 and 87178 is 14.

GCF(87164,87178) = 14

We will now calculate the prime factors of 87164 and 87178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87164 and 87178.

How to find the GCF of 87164 and 87178?

We will first find the prime factorization of 87164 and 87178. After we will calculate the factors of 87164 and 87178 and find the biggest common factor number .

Step-1: Prime Factorization of 87164

Prime factors of 87164 are 2, 7, 11, 283. Prime factorization of 87164 in exponential form is:

87164 = 2² × 7¹ × 11¹ × 283¹

Step-2: Prime Factorization of 87178

Prime factors of 87178 are 2, 7, 13, 479. Prime factorization of 87178 in exponential form is:

87178 = 2¹ × 7¹ × 13¹ × 479¹

Step-3: Factors of 87164

List of positive integer factors of 87164 that divides 87164 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981, 3113, 3962, 6226, 7924, 12452, 21791, 43582

Step-4: Factors of 87178

List of positive integer factors of 87178 that divides 87164 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 479, 958, 3353, 6227, 6706, 12454, 43589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87164 and 87178. The biggest common factor number is the GCF number.
So the greatest common factor 87164 and 87178 is 14.

Also check out the Least Common Multiple of 87164 and 87178