What is the Greatest Common Factor of 87256 and 87269?

Greatest common factor (GCF) of 87256 and 87269 is 13.

GCF(87256,87269) = 13

We will now calculate the prime factors of 87256 and 87269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87256 and 87269.

How to find the GCF of 87256 and 87269?

We will first find the prime factorization of 87256 and 87269. After we will calculate the factors of 87256 and 87269 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 87269

Prime factors of 87269 are 7, 13, 137. Prime factorization of 87269 in exponential form is:

87269 = 7² × 13¹ × 137¹

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 87269

List of positive integer factors of 87269 that divides 87256 without a remainder.

1, 7, 13, 49, 91, 137, 637, 959, 1781, 6713, 12467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87256 and 87269. The biggest common factor number is the GCF number.
So the greatest common factor 87256 and 87269 is 13.

Also check out the Least Common Multiple of 87256 and 87269