What is the Greatest Common Factor of 87460 and 87465?

Greatest common factor (GCF) of 87460 and 87465 is 5.

GCF(87460,87465) = 5

We will now calculate the prime factors of 87460 and 87465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87460 and 87465.

How to find the GCF of 87460 and 87465?

We will first find the prime factorization of 87460 and 87465. After we will calculate the factors of 87460 and 87465 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 87465

Prime factors of 87465 are 3, 5, 7, 17. Prime factorization of 87465 in exponential form is:

87465 = 3¹ × 5¹ × 7³ × 17¹

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 87465

List of positive integer factors of 87465 that divides 87460 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 49, 51, 85, 105, 119, 147, 245, 255, 343, 357, 595, 735, 833, 1029, 1715, 1785, 2499, 4165, 5145, 5831, 12495, 17493, 29155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87460 and 87465. The biggest common factor number is the GCF number.
So the greatest common factor 87460 and 87465 is 5.

Also check out the Least Common Multiple of 87460 and 87465