What is the Greatest Common Factor of 87296 and 87316?

Greatest common factor (GCF) of 87296 and 87316 is 4.

GCF(87296,87316) = 4

We will now calculate the prime factors of 87296 and 87316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87296 and 87316.

How to find the GCF of 87296 and 87316?

We will first find the prime factorization of 87296 and 87316. After we will calculate the factors of 87296 and 87316 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 87316

Prime factors of 87316 are 2, 83, 263. Prime factorization of 87316 in exponential form is:

87316 = 2² × 83¹ × 263¹

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 87316

List of positive integer factors of 87316 that divides 87296 without a remainder.

1, 2, 4, 83, 166, 263, 332, 526, 1052, 21829, 43658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87296 and 87316. The biggest common factor number is the GCF number.
So the greatest common factor 87296 and 87316 is 4.

Also check out the Least Common Multiple of 87296 and 87316