What is the Greatest Common Factor of 87115 and 87134?

Greatest common factor (GCF) of 87115 and 87134 is 19.

GCF(87115,87134) = 19

We will now calculate the prime factors of 87115 and 87134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87115 and 87134.

How to find the GCF of 87115 and 87134?

We will first find the prime factorization of 87115 and 87134. After we will calculate the factors of 87115 and 87134 and find the biggest common factor number .

Step-1: Prime Factorization of 87115

Prime factors of 87115 are 5, 7, 19, 131. Prime factorization of 87115 in exponential form is:

87115 = 5¹ × 7¹ × 19¹ × 131¹

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 87115

List of positive integer factors of 87115 that divides 87115 without a remainder.

1, 5, 7, 19, 35, 95, 131, 133, 655, 665, 917, 2489, 4585, 12445, 17423

Step-4: Factors of 87134

List of positive integer factors of 87134 that divides 87115 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87115 and 87134. The biggest common factor number is the GCF number.
So the greatest common factor 87115 and 87134 is 19.

Also check out the Least Common Multiple of 87115 and 87134