What is the Greatest Common Factor of 87164 and 87183?

Greatest common factor (GCF) of 87164 and 87183 is 1.

GCF(87164,87183) = 1

We will now calculate the prime factors of 87164 and 87183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87164 and 87183.

How to find the GCF of 87164 and 87183?

We will first find the prime factorization of 87164 and 87183. After we will calculate the factors of 87164 and 87183 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 87183

Prime factors of 87183 are 3, 3229. Prime factorization of 87183 in exponential form is:

87183 = 3³ × 3229¹

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 87183

List of positive integer factors of 87183 that divides 87164 without a remainder.

1, 3, 9, 27, 3229, 9687, 29061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87164 and 87183. The biggest common factor number is the GCF number.
So the greatest common factor 87164 and 87183 is 1.

Also check out the Least Common Multiple of 87164 and 87183