What is the Greatest Common Factor of 87128 and 87134?

Greatest common factor (GCF) of 87128 and 87134 is 2.

GCF(87128,87134) = 2

We will now calculate the prime factors of 87128 and 87134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87128 and 87134.

How to find the GCF of 87128 and 87134?

We will first find the prime factorization of 87128 and 87134. After we will calculate the factors of 87128 and 87134 and find the biggest common factor number .

Step-1: Prime Factorization of 87128

Prime factors of 87128 are 2, 10891. Prime factorization of 87128 in exponential form is:

87128 = 2³ × 10891¹

Step-2: Prime Factorization of 87134

Prime factors of 87134 are 2, 19, 2293. Prime factorization of 87134 in exponential form is:

87134 = 2¹ × 19¹ × 2293¹

Step-3: Factors of 87128

List of positive integer factors of 87128 that divides 87128 without a remainder.

1, 2, 4, 8, 10891, 21782, 43564

Step-4: Factors of 87134

List of positive integer factors of 87134 that divides 87128 without a remainder.

1, 2, 19, 38, 2293, 4586, 43567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87128 and 87134. The biggest common factor number is the GCF number.
So the greatest common factor 87128 and 87134 is 2.

Also check out the Least Common Multiple of 87128 and 87134