What is the Greatest Common Factor of 61065 and 61077?

Greatest common factor (GCF) of 61065 and 61077 is 3.

GCF(61065,61077) = 3

We will now calculate the prime factors of 61065 and 61077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61065 and 61077.

How to find the GCF of 61065 and 61077?

We will first find the prime factorization of 61065 and 61077. After we will calculate the factors of 61065 and 61077 and find the biggest common factor number .

Step-1: Prime Factorization of 61065

Prime factors of 61065 are 3, 5, 23, 59. Prime factorization of 61065 in exponential form is:

61065 = 3² × 5¹ × 23¹ × 59¹

Step-2: Prime Factorization of 61077

Prime factors of 61077 are 3, 20359. Prime factorization of 61077 in exponential form is:

61077 = 3¹ × 20359¹

Step-3: Factors of 61065

List of positive integer factors of 61065 that divides 61065 without a remainder.

1, 3, 5, 9, 15, 23, 45, 59, 69, 115, 177, 207, 295, 345, 531, 885, 1035, 1357, 2655, 4071, 6785, 12213, 20355

Step-4: Factors of 61077

List of positive integer factors of 61077 that divides 61065 without a remainder.

1, 3, 20359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61065 and 61077. The biggest common factor number is the GCF number.
So the greatest common factor 61065 and 61077 is 3.

Also check out the Least Common Multiple of 61065 and 61077