What is the Greatest Common Factor of 40455 and 40461?

Greatest common factor (GCF) of 40455 and 40461 is 3.

GCF(40455,40461) = 3

We will now calculate the prime factors of 40455 and 40461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40455 and 40461.

How to find the GCF of 40455 and 40461?

We will first find the prime factorization of 40455 and 40461. After we will calculate the factors of 40455 and 40461 and find the biggest common factor number .

Step-1: Prime Factorization of 40455

Prime factors of 40455 are 3, 5, 29, 31. Prime factorization of 40455 in exponential form is:

40455 = 3² × 5¹ × 29¹ × 31¹

Step-2: Prime Factorization of 40461

Prime factors of 40461 are 3, 13487. Prime factorization of 40461 in exponential form is:

40461 = 3¹ × 13487¹

Step-3: Factors of 40455

List of positive integer factors of 40455 that divides 40455 without a remainder.

1, 3, 5, 9, 15, 29, 31, 45, 87, 93, 145, 155, 261, 279, 435, 465, 899, 1305, 1395, 2697, 4495, 8091, 13485

Step-4: Factors of 40461

List of positive integer factors of 40461 that divides 40455 without a remainder.

1, 3, 13487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40455 and 40461. The biggest common factor number is the GCF number.
So the greatest common factor 40455 and 40461 is 3.

Also check out the Least Common Multiple of 40455 and 40461