What is the Greatest Common Factor of 61080 and 61095?

Greatest common factor (GCF) of 61080 and 61095 is 15.

GCF(61080,61095) = 15

We will now calculate the prime factors of 61080 and 61095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61080 and 61095.

How to find the GCF of 61080 and 61095?

We will first find the prime factorization of 61080 and 61095. After we will calculate the factors of 61080 and 61095 and find the biggest common factor number .

Step-1: Prime Factorization of 61080

Prime factors of 61080 are 2, 3, 5, 509. Prime factorization of 61080 in exponential form is:

61080 = 2³ × 3¹ × 5¹ × 509¹

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 61080

List of positive integer factors of 61080 that divides 61080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 509, 1018, 1527, 2036, 2545, 3054, 4072, 5090, 6108, 7635, 10180, 12216, 15270, 20360, 30540

Step-4: Factors of 61095

List of positive integer factors of 61095 that divides 61080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61080 and 61095. The biggest common factor number is the GCF number.
So the greatest common factor 61080 and 61095 is 15.

Also check out the Least Common Multiple of 61080 and 61095