What is the Greatest Common Factor of 87460 and 87475?

Greatest common factor (GCF) of 87460 and 87475 is 5.

GCF(87460,87475) = 5

We will now calculate the prime factors of 87460 and 87475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87460 and 87475.

How to find the GCF of 87460 and 87475?

We will first find the prime factorization of 87460 and 87475. After we will calculate the factors of 87460 and 87475 and find the biggest common factor number .

Step-1: Prime Factorization of 87460

Prime factors of 87460 are 2, 5, 4373. Prime factorization of 87460 in exponential form is:

87460 = 2² × 5¹ × 4373¹

Step-2: Prime Factorization of 87475

Prime factors of 87475 are 5, 3499. Prime factorization of 87475 in exponential form is:

87475 = 5² × 3499¹

Step-3: Factors of 87460

List of positive integer factors of 87460 that divides 87460 without a remainder.

1, 2, 4, 5, 10, 20, 4373, 8746, 17492, 21865, 43730

Step-4: Factors of 87475

List of positive integer factors of 87475 that divides 87460 without a remainder.

1, 5, 25, 3499, 17495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87460 and 87475. The biggest common factor number is the GCF number.
So the greatest common factor 87460 and 87475 is 5.

Also check out the Least Common Multiple of 87460 and 87475