What is the Greatest Common Factor of 87256 and 87265?

Greatest common factor (GCF) of 87256 and 87265 is 1.

GCF(87256,87265) = 1

We will now calculate the prime factors of 87256 and 87265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87256 and 87265.

How to find the GCF of 87256 and 87265?

We will first find the prime factorization of 87256 and 87265. After we will calculate the factors of 87256 and 87265 and find the biggest common factor number .

Step-1: Prime Factorization of 87256

Prime factors of 87256 are 2, 13, 839. Prime factorization of 87256 in exponential form is:

87256 = 2³ × 13¹ × 839¹

Step-2: Prime Factorization of 87265

Prime factors of 87265 are 5, 31, 563. Prime factorization of 87265 in exponential form is:

87265 = 5¹ × 31¹ × 563¹

Step-3: Factors of 87256

List of positive integer factors of 87256 that divides 87256 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 839, 1678, 3356, 6712, 10907, 21814, 43628

Step-4: Factors of 87265

List of positive integer factors of 87265 that divides 87256 without a remainder.

1, 5, 31, 155, 563, 2815, 17453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87256 and 87265. The biggest common factor number is the GCF number.
So the greatest common factor 87256 and 87265 is 1.

Also check out the Least Common Multiple of 87256 and 87265