What is the Greatest Common Factor of 87451 and 87465?

Greatest common factor (GCF) of 87451 and 87465 is 7.

GCF(87451,87465) = 7

We will now calculate the prime factors of 87451 and 87465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87451 and 87465.

How to find the GCF of 87451 and 87465?

We will first find the prime factorization of 87451 and 87465. After we will calculate the factors of 87451 and 87465 and find the biggest common factor number .

Step-1: Prime Factorization of 87451

Prime factors of 87451 are 7, 13, 31. Prime factorization of 87451 in exponential form is:

87451 = 7¹ × 13¹ × 31²

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 87451

List of positive integer factors of 87451 that divides 87451 without a remainder.

1, 7, 13, 31, 91, 217, 403, 961, 2821, 6727, 12493

Step-4: Factors of 87465

List of positive integer factors of 87465 that divides 87451 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 87451 and 87465. The biggest common factor number is the GCF number.
So the greatest common factor 87451 and 87465 is 7.

Also check out the Least Common Multiple of 87451 and 87465