What is the Greatest Common Factor of 87505 and 87512?

Greatest common factor (GCF) of 87505 and 87512 is 1.

GCF(87505,87512) = 1

We will now calculate the prime factors of 87505 and 87512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87505 and 87512.

How to find the GCF of 87505 and 87512?

We will first find the prime factorization of 87505 and 87512. After we will calculate the factors of 87505 and 87512 and find the biggest common factor number .

Step-1: Prime Factorization of 87505

Prime factors of 87505 are 5, 11, 37, 43. Prime factorization of 87505 in exponential form is:

87505 = 5¹ × 11¹ × 37¹ × 43¹

Step-2: Prime Factorization of 87512

Prime factors of 87512 are 2, 10939. Prime factorization of 87512 in exponential form is:

87512 = 2³ × 10939¹

Step-3: Factors of 87505

List of positive integer factors of 87505 that divides 87505 without a remainder.

1, 5, 11, 37, 43, 55, 185, 215, 407, 473, 1591, 2035, 2365, 7955, 17501

Step-4: Factors of 87512

List of positive integer factors of 87512 that divides 87505 without a remainder.

1, 2, 4, 8, 10939, 21878, 43756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87505 and 87512. The biggest common factor number is the GCF number.
So the greatest common factor 87505 and 87512 is 1.

Also check out the Least Common Multiple of 87505 and 87512