What is the Greatest Common Factor of 61455 and 61461?

Greatest common factor (GCF) of 61455 and 61461 is 3.

GCF(61455,61461) = 3

We will now calculate the prime factors of 61455 and 61461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61455 and 61461.

How to find the GCF of 61455 and 61461?

We will first find the prime factorization of 61455 and 61461. After we will calculate the factors of 61455 and 61461 and find the biggest common factor number .

Step-1: Prime Factorization of 61455

Prime factors of 61455 are 3, 5, 17, 241. Prime factorization of 61455 in exponential form is:

61455 = 3¹ × 5¹ × 17¹ × 241¹

Step-2: Prime Factorization of 61461

Prime factors of 61461 are 3, 6829. Prime factorization of 61461 in exponential form is:

61461 = 3² × 6829¹

Step-3: Factors of 61455

List of positive integer factors of 61455 that divides 61455 without a remainder.

1, 3, 5, 15, 17, 51, 85, 241, 255, 723, 1205, 3615, 4097, 12291, 20485

Step-4: Factors of 61461

List of positive integer factors of 61461 that divides 61455 without a remainder.

1, 3, 9, 6829, 20487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61455 and 61461. The biggest common factor number is the GCF number.
So the greatest common factor 61455 and 61461 is 3.

Also check out the Least Common Multiple of 61455 and 61461