What is the Greatest Common Factor of 61077 and 61095?

Greatest common factor (GCF) of 61077 and 61095 is 3.

GCF(61077,61095) = 3

We will now calculate the prime factors of 61077 and 61095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61077 and 61095.

How to find the GCF of 61077 and 61095?

We will first find the prime factorization of 61077 and 61095. After we will calculate the factors of 61077 and 61095 and find the biggest common factor number .

Step-1: Prime Factorization of 61077

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

61077 = 3¹ × 20359¹

Step-2: Prime Factorization of 61095

Prime factors of 61095 are 3, 5, 4073. Prime factorization of 61095 in exponential form is:

61095 = 3¹ × 5¹ × 4073¹

Step-3: Factors of 61077

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

1, 3, 20359

Step-4: Factors of 61095

List of positive integer factors of 61095 that divides 61077 without a remainder.

1, 3, 5, 15, 4073, 12219, 20365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61077 and 61095. The biggest common factor number is the GCF number.
So the greatest common factor 61077 and 61095 is 3.

Also check out the Least Common Multiple of 61077 and 61095