What is the Greatest Common Factor of 87465 and 87470?

Greatest common factor (GCF) of 87465 and 87470 is 5.

GCF(87465,87470) = 5

We will now calculate the prime factors of 87465 and 87470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87465 and 87470.

How to find the GCF of 87465 and 87470?

We will first find the prime factorization of 87465 and 87470. After we will calculate the factors of 87465 and 87470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87470

Prime factors of 87470 are 2, 5, 8747. Prime factorization of 87470 in exponential form is:

87470 = 2¹ × 5¹ × 8747¹

Step-3: Factors of 87465

List of positive integer factors of 87465 that divides 87465 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

Step-4: Factors of 87470

List of positive integer factors of 87470 that divides 87465 without a remainder.

1, 2, 5, 10, 8747, 17494, 43735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87465 and 87470. The biggest common factor number is the GCF number.
So the greatest common factor 87465 and 87470 is 5.

Also check out the Least Common Multiple of 87465 and 87470