What is the Greatest Common Factor of 87280 and 87295?

Greatest common factor (GCF) of 87280 and 87295 is 5.

GCF(87280,87295) = 5

We will now calculate the prime factors of 87280 and 87295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87280 and 87295.

How to find the GCF of 87280 and 87295?

We will first find the prime factorization of 87280 and 87295. After we will calculate the factors of 87280 and 87295 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 87295

Prime factors of 87295 are 5, 13, 17, 79. Prime factorization of 87295 in exponential form is:

87295 = 5¹ × 13¹ × 17¹ × 79¹

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 87295

List of positive integer factors of 87295 that divides 87280 without a remainder.

1, 5, 13, 17, 65, 79, 85, 221, 395, 1027, 1105, 1343, 5135, 6715, 17459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87280 and 87295. The biggest common factor number is the GCF number.
So the greatest common factor 87280 and 87295 is 5.

Also check out the Least Common Multiple of 87280 and 87295