What is the Greatest Common Factor of 87105 and 87110?

Greatest common factor (GCF) of 87105 and 87110 is 5.

GCF(87105,87110) = 5

We will now calculate the prime factors of 87105 and 87110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87105 and 87110.

How to find the GCF of 87105 and 87110?

We will first find the prime factorization of 87105 and 87110. After we will calculate the factors of 87105 and 87110 and find the biggest common factor number .

Step-1: Prime Factorization of 87105

Prime factors of 87105 are 3, 5, 5807. Prime factorization of 87105 in exponential form is:

87105 = 3¹ × 5¹ × 5807¹

Step-2: Prime Factorization of 87110

Prime factors of 87110 are 2, 5, 31, 281. Prime factorization of 87110 in exponential form is:

87110 = 2¹ × 5¹ × 31¹ × 281¹

Step-3: Factors of 87105

List of positive integer factors of 87105 that divides 87105 without a remainder.

1, 3, 5, 15, 5807, 17421, 29035

Step-4: Factors of 87110

List of positive integer factors of 87110 that divides 87105 without a remainder.

1, 2, 5, 10, 31, 62, 155, 281, 310, 562, 1405, 2810, 8711, 17422, 43555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87105 and 87110. The biggest common factor number is the GCF number.
So the greatest common factor 87105 and 87110 is 5.

Also check out the Least Common Multiple of 87105 and 87110