What is the Greatest Common Factor of 61506 and 61515?

Greatest common factor (GCF) of 61506 and 61515 is 9.

GCF(61506,61515) = 9

We will now calculate the prime factors of 61506 and 61515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61506 and 61515.

How to find the GCF of 61506 and 61515?

We will first find the prime factorization of 61506 and 61515. After we will calculate the factors of 61506 and 61515 and find the biggest common factor number .

Step-1: Prime Factorization of 61506

Prime factors of 61506 are 2, 3, 17, 67. Prime factorization of 61506 in exponential form is:

61506 = 2¹ × 3³ × 17¹ × 67¹

Step-2: Prime Factorization of 61515

Prime factors of 61515 are 3, 5, 1367. Prime factorization of 61515 in exponential form is:

61515 = 3² × 5¹ × 1367¹

Step-3: Factors of 61506

List of positive integer factors of 61506 that divides 61506 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 67, 102, 134, 153, 201, 306, 402, 459, 603, 918, 1139, 1206, 1809, 2278, 3417, 3618, 6834, 10251, 20502, 30753

Step-4: Factors of 61515

List of positive integer factors of 61515 that divides 61506 without a remainder.

1, 3, 5, 9, 15, 45, 1367, 4101, 6835, 12303, 20505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61506 and 61515. The biggest common factor number is the GCF number.
So the greatest common factor 61506 and 61515 is 9.

Also check out the Least Common Multiple of 61506 and 61515