What is the Greatest Common Factor of 87296 and 87313?

Greatest common factor (GCF) of 87296 and 87313 is 1.

GCF(87296,87313) = 1

We will now calculate the prime factors of 87296 and 87313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87296 and 87313.

How to find the GCF of 87296 and 87313?

We will first find the prime factorization of 87296 and 87313. After we will calculate the factors of 87296 and 87313 and find the biggest common factor number .

Step-1: Prime Factorization of 87296

Prime factors of 87296 are 2, 11, 31. Prime factorization of 87296 in exponential form is:

87296 = 2⁸ × 11¹ × 31¹

Step-2: Prime Factorization of 87313

Prime factors of 87313 are 87313. Prime factorization of 87313 in exponential form is:

87313 = 87313¹

Step-3: Factors of 87296

List of positive integer factors of 87296 that divides 87296 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 256, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 2816, 3968, 5456, 7936, 10912, 21824, 43648

Step-4: Factors of 87313

List of positive integer factors of 87313 that divides 87296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87296 and 87313. The biggest common factor number is the GCF number.
So the greatest common factor 87296 and 87313 is 1.

Also check out the Least Common Multiple of 87296 and 87313