What is the Greatest Common Factor of 87410 and 87415?

Greatest common factor (GCF) of 87410 and 87415 is 5.

GCF(87410,87415) = 5

We will now calculate the prime factors of 87410 and 87415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87410 and 87415.

How to find the GCF of 87410 and 87415?

We will first find the prime factorization of 87410 and 87415. After we will calculate the factors of 87410 and 87415 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 87415

Prime factors of 87415 are 5, 17483. Prime factorization of 87415 in exponential form is:

87415 = 5¹ × 17483¹

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 87415

List of positive integer factors of 87415 that divides 87410 without a remainder.

1, 5, 17483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87410 and 87415. The biggest common factor number is the GCF number.
So the greatest common factor 87410 and 87415 is 5.

Also check out the Least Common Multiple of 87410 and 87415