What is the Greatest Common Factor of 61395 and 61407?

Greatest common factor (GCF) of 61395 and 61407 is 3.

GCF(61395,61407) = 3

We will now calculate the prime factors of 61395 and 61407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61395 and 61407.

How to find the GCF of 61395 and 61407?

We will first find the prime factorization of 61395 and 61407. After we will calculate the factors of 61395 and 61407 and find the biggest common factor number .

Step-1: Prime Factorization of 61395

Prime factors of 61395 are 3, 5, 4093. Prime factorization of 61395 in exponential form is:

61395 = 3¹ × 5¹ × 4093¹

Step-2: Prime Factorization of 61407

Prime factors of 61407 are 3, 6823. Prime factorization of 61407 in exponential form is:

61407 = 3² × 6823¹

Step-3: Factors of 61395

List of positive integer factors of 61395 that divides 61395 without a remainder.

1, 3, 5, 15, 4093, 12279, 20465

Step-4: Factors of 61407

List of positive integer factors of 61407 that divides 61395 without a remainder.

1, 3, 9, 6823, 20469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61395 and 61407. The biggest common factor number is the GCF number.
So the greatest common factor 61395 and 61407 is 3.

Also check out the Least Common Multiple of 61395 and 61407