What is the Greatest Common Factor of 87280 and 87296?

Greatest common factor (GCF) of 87280 and 87296 is 16.

GCF(87280,87296) = 16

We will now calculate the prime factors of 87280 and 87296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87280 and 87296.

How to find the GCF of 87280 and 87296?

We will first find the prime factorization of 87280 and 87296. After we will calculate the factors of 87280 and 87296 and find the biggest common factor number .

Step-1: Prime Factorization of 87280

Prime factors of 87280 are 2, 5, 1091. Prime factorization of 87280 in exponential form is:

87280 = 2⁴ × 5¹ × 1091¹

Step-2: 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-3: Factors of 87280

List of positive integer factors of 87280 that divides 87280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1091, 2182, 4364, 5455, 8728, 10910, 17456, 21820, 43640

Step-4: Factors of 87296

List of positive integer factors of 87296 that divides 87280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87280 and 87296. The biggest common factor number is the GCF number.
So the greatest common factor 87280 and 87296 is 16.

Also check out the Least Common Multiple of 87280 and 87296