What is the Greatest Common Factor of 87465 and 87481?

Greatest common factor (GCF) of 87465 and 87481 is 1.

GCF(87465,87481) = 1

We will now calculate the prime factors of 87465 and 87481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87465 and 87481.

How to find the GCF of 87465 and 87481?

We will first find the prime factorization of 87465 and 87481. After we will calculate the factors of 87465 and 87481 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 87481

Prime factors of 87481 are 87481. Prime factorization of 87481 in exponential form is:

87481 = 87481¹

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 87481

List of positive integer factors of 87481 that divides 87465 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87465 and 87481. The biggest common factor number is the GCF number.
So the greatest common factor 87465 and 87481 is 1.

Also check out the Least Common Multiple of 87465 and 87481