What is the Greatest Common Factor of 87410 and 87425?

Greatest common factor (GCF) of 87410 and 87425 is 5.

GCF(87410,87425) = 5

We will now calculate the prime factors of 87410 and 87425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87410 and 87425.

How to find the GCF of 87410 and 87425?

We will first find the prime factorization of 87410 and 87425. After we will calculate the factors of 87410 and 87425 and find the biggest common factor number .

Step-1: Prime Factorization of 87410

Prime factors of 87410 are 2, 5, 8741. Prime factorization of 87410 in exponential form is:

87410 = 2¹ × 5¹ × 8741¹

Step-2: Prime Factorization of 87425

Prime factors of 87425 are 5, 13, 269. Prime factorization of 87425 in exponential form is:

87425 = 5² × 13¹ × 269¹

Step-3: Factors of 87410

List of positive integer factors of 87410 that divides 87410 without a remainder.

1, 2, 5, 10, 8741, 17482, 43705

Step-4: Factors of 87425

List of positive integer factors of 87425 that divides 87410 without a remainder.

1, 5, 13, 25, 65, 269, 325, 1345, 3497, 6725, 17485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87410 and 87425. The biggest common factor number is the GCF number.
So the greatest common factor 87410 and 87425 is 5.

Also check out the Least Common Multiple of 87410 and 87425