What is the Greatest Common Factor of 87246 and 87255?

Greatest common factor (GCF) of 87246 and 87255 is 9.

GCF(87246,87255) = 9

We will now calculate the prime factors of 87246 and 87255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87246 and 87255.

How to find the GCF of 87246 and 87255?

We will first find the prime factorization of 87246 and 87255. After we will calculate the factors of 87246 and 87255 and find the biggest common factor number .

Step-1: Prime Factorization of 87246

Prime factors of 87246 are 2, 3, 37, 131. Prime factorization of 87246 in exponential form is:

87246 = 2¹ × 3² × 37¹ × 131¹

Step-2: Prime Factorization of 87255

Prime factors of 87255 are 3, 5, 7, 277. Prime factorization of 87255 in exponential form is:

87255 = 3² × 5¹ × 7¹ × 277¹

Step-3: Factors of 87246

List of positive integer factors of 87246 that divides 87246 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 131, 222, 262, 333, 393, 666, 786, 1179, 2358, 4847, 9694, 14541, 29082, 43623

Step-4: Factors of 87255

List of positive integer factors of 87255 that divides 87246 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 277, 315, 831, 1385, 1939, 2493, 4155, 5817, 9695, 12465, 17451, 29085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87246 and 87255. The biggest common factor number is the GCF number.
So the greatest common factor 87246 and 87255 is 9.

Also check out the Least Common Multiple of 87246 and 87255