What is the Greatest Common Factor of 61065 and 61075?

Greatest common factor (GCF) of 61065 and 61075 is 5.

GCF(61065,61075) = 5

We will now calculate the prime factors of 61065 and 61075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61065 and 61075.

How to find the GCF of 61065 and 61075?

We will first find the prime factorization of 61065 and 61075. After we will calculate the factors of 61065 and 61075 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 61075

Prime factors of 61075 are 5, 7, 349. Prime factorization of 61075 in exponential form is:

61075 = 5² × 7¹ × 349¹

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 61075

List of positive integer factors of 61075 that divides 61065 without a remainder.

1, 5, 7, 25, 35, 175, 349, 1745, 2443, 8725, 12215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61065 and 61075. The biggest common factor number is the GCF number.
So the greatest common factor 61065 and 61075 is 5.

Also check out the Least Common Multiple of 61065 and 61075