What is the Greatest Common Factor of 61065 and 61085?

Greatest common factor (GCF) of 61065 and 61085 is 5.

GCF(61065,61085) = 5

We will now calculate the prime factors of 61065 and 61085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61065 and 61085.

How to find the GCF of 61065 and 61085?

We will first find the prime factorization of 61065 and 61085. After we will calculate the factors of 61065 and 61085 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 61085

Prime factors of 61085 are 5, 19, 643. Prime factorization of 61085 in exponential form is:

61085 = 5¹ × 19¹ × 643¹

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 61085

List of positive integer factors of 61085 that divides 61065 without a remainder.

1, 5, 19, 95, 643, 3215, 12217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61065 and 61085. The biggest common factor number is the GCF number.
So the greatest common factor 61065 and 61085 is 5.

Also check out the Least Common Multiple of 61065 and 61085