What is the Greatest Common Factor of 87296 and 87303?

Greatest common factor (GCF) of 87296 and 87303 is 1.

GCF(87296,87303) = 1

We will now calculate the prime factors of 87296 and 87303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87296 and 87303.

How to find the GCF of 87296 and 87303?

We will first find the prime factorization of 87296 and 87303. After we will calculate the factors of 87296 and 87303 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 87303

Prime factors of 87303 are 3, 29101. Prime factorization of 87303 in exponential form is:

87303 = 3¹ × 29101¹

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 87303

List of positive integer factors of 87303 that divides 87296 without a remainder.

1, 3, 29101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87296 and 87303. The biggest common factor number is the GCF number.
So the greatest common factor 87296 and 87303 is 1.

Also check out the Least Common Multiple of 87296 and 87303