What is the Greatest Common Factor of 28455 and 28461?

Greatest common factor (GCF) of 28455 and 28461 is 3.

GCF(28455,28461) = 3

We will now calculate the prime factors of 28455 and 28461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28455 and 28461.

How to find the GCF of 28455 and 28461?

We will first find the prime factorization of 28455 and 28461. After we will calculate the factors of 28455 and 28461 and find the biggest common factor number .

Step-1: Prime Factorization of 28455

Prime factors of 28455 are 3, 5, 7, 271. Prime factorization of 28455 in exponential form is:

28455 = 3¹ × 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 28461

Prime factors of 28461 are 3, 53, 179. Prime factorization of 28461 in exponential form is:

28461 = 3¹ × 53¹ × 179¹

Step-3: Factors of 28455

List of positive integer factors of 28455 that divides 28455 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 271, 813, 1355, 1897, 4065, 5691, 9485

Step-4: Factors of 28461

List of positive integer factors of 28461 that divides 28455 without a remainder.

1, 3, 53, 159, 179, 537, 9487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28455 and 28461. The biggest common factor number is the GCF number.
So the greatest common factor 28455 and 28461 is 3.

Also check out the Least Common Multiple of 28455 and 28461