What is the Greatest Common Factor of 87158 and 87164?

Greatest common factor (GCF) of 87158 and 87164 is 2.

GCF(87158,87164) = 2

We will now calculate the prime factors of 87158 and 87164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87158 and 87164.

How to find the GCF of 87158 and 87164?

We will first find the prime factorization of 87158 and 87164. After we will calculate the factors of 87158 and 87164 and find the biggest common factor number .

Step-1: Prime Factorization of 87158

Prime factors of 87158 are 2, 43579. Prime factorization of 87158 in exponential form is:

87158 = 2¹ × 43579¹

Step-2: 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-3: Factors of 87158

List of positive integer factors of 87158 that divides 87158 without a remainder.

1, 2, 43579

Step-4: Factors of 87164

List of positive integer factors of 87164 that divides 87158 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87158 and 87164. The biggest common factor number is the GCF number.
So the greatest common factor 87158 and 87164 is 2.

Also check out the Least Common Multiple of 87158 and 87164