What is the Greatest Common Factor of 87164 and 87173?

Greatest common factor (GCF) of 87164 and 87173 is 1.

GCF(87164,87173) = 1

We will now calculate the prime factors of 87164 and 87173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87164 and 87173.

How to find the GCF of 87164 and 87173?

We will first find the prime factorization of 87164 and 87173. After we will calculate the factors of 87164 and 87173 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 87173

Prime factors of 87173 are 179, 487. Prime factorization of 87173 in exponential form is:

87173 = 179¹ × 487¹

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 87173

List of positive integer factors of 87173 that divides 87164 without a remainder.

1, 179, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87164 and 87173. The biggest common factor number is the GCF number.
So the greatest common factor 87164 and 87173 is 1.

Also check out the Least Common Multiple of 87164 and 87173