What is the Greatest Common Factor of 87125 and 87145?

Greatest common factor (GCF) of 87125 and 87145 is 5.

GCF(87125,87145) = 5

We will now calculate the prime factors of 87125 and 87145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87125 and 87145.

How to find the GCF of 87125 and 87145?

We will first find the prime factorization of 87125 and 87145. After we will calculate the factors of 87125 and 87145 and find the biggest common factor number .

Step-1: Prime Factorization of 87125

Prime factors of 87125 are 5, 17, 41. Prime factorization of 87125 in exponential form is:

87125 = 5³ × 17¹ × 41¹

Step-2: Prime Factorization of 87145

Prime factors of 87145 are 5, 29, 601. Prime factorization of 87145 in exponential form is:

87145 = 5¹ × 29¹ × 601¹

Step-3: Factors of 87125

List of positive integer factors of 87125 that divides 87125 without a remainder.

1, 5, 17, 25, 41, 85, 125, 205, 425, 697, 1025, 2125, 3485, 5125, 17425

Step-4: Factors of 87145

List of positive integer factors of 87145 that divides 87125 without a remainder.

1, 5, 29, 145, 601, 3005, 17429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87125 and 87145. The biggest common factor number is the GCF number.
So the greatest common factor 87125 and 87145 is 5.

Also check out the Least Common Multiple of 87125 and 87145