What is the Greatest Common Factor of 87255 and 87269?

Greatest common factor (GCF) of 87255 and 87269 is 7.

GCF(87255,87269) = 7

We will now calculate the prime factors of 87255 and 87269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87255 and 87269.

How to find the GCF of 87255 and 87269?

We will first find the prime factorization of 87255 and 87269. After we will calculate the factors of 87255 and 87269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87269

Prime factors of 87269 are 7, 13, 137. Prime factorization of 87269 in exponential form is:

87269 = 7² × 13¹ × 137¹

Step-3: Factors of 87255

List of positive integer factors of 87255 that divides 87255 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

Step-4: Factors of 87269

List of positive integer factors of 87269 that divides 87255 without a remainder.

1, 7, 13, 49, 91, 137, 637, 959, 1781, 6713, 12467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87255 and 87269. The biggest common factor number is the GCF number.
So the greatest common factor 87255 and 87269 is 7.

Also check out the Least Common Multiple of 87255 and 87269