What is the Greatest Common Factor of 87148 and 87164?

Greatest common factor (GCF) of 87148 and 87164 is 4.

GCF(87148,87164) = 4

We will now calculate the prime factors of 87148 and 87164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87148 and 87164.

How to find the GCF of 87148 and 87164?

We will first find the prime factorization of 87148 and 87164. After we will calculate the factors of 87148 and 87164 and find the biggest common factor number .

Step-1: Prime Factorization of 87148

Prime factors of 87148 are 2, 21787. Prime factorization of 87148 in exponential form is:

87148 = 2² × 21787¹

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 87148

List of positive integer factors of 87148 that divides 87148 without a remainder.

1, 2, 4, 21787, 43574

Step-4: Factors of 87164

List of positive integer factors of 87164 that divides 87148 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 87148 and 87164. The biggest common factor number is the GCF number.
So the greatest common factor 87148 and 87164 is 4.

Also check out the Least Common Multiple of 87148 and 87164