What is the Greatest Common Factor of 61299 and 61305?

Greatest common factor (GCF) of 61299 and 61305 is 3.

GCF(61299,61305) = 3

We will now calculate the prime factors of 61299 and 61305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61299 and 61305.

How to find the GCF of 61299 and 61305?

We will first find the prime factorization of 61299 and 61305. After we will calculate the factors of 61299 and 61305 and find the biggest common factor number .

Step-1: Prime Factorization of 61299

Prime factors of 61299 are 3, 7, 139. Prime factorization of 61299 in exponential form is:

61299 = 3² × 7² × 139¹

Step-2: Prime Factorization of 61305

Prime factors of 61305 are 3, 5, 61, 67. Prime factorization of 61305 in exponential form is:

61305 = 3¹ × 5¹ × 61¹ × 67¹

Step-3: Factors of 61299

List of positive integer factors of 61299 that divides 61299 without a remainder.

1, 3, 7, 9, 21, 49, 63, 139, 147, 417, 441, 973, 1251, 2919, 6811, 8757, 20433

Step-4: Factors of 61305

List of positive integer factors of 61305 that divides 61299 without a remainder.

1, 3, 5, 15, 61, 67, 183, 201, 305, 335, 915, 1005, 4087, 12261, 20435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61299 and 61305. The biggest common factor number is the GCF number.
So the greatest common factor 61299 and 61305 is 3.

Also check out the Least Common Multiple of 61299 and 61305