What is the Greatest Common Factor of 61305 and 61312?

Greatest common factor (GCF) of 61305 and 61312 is 1.

GCF(61305,61312) = 1

We will now calculate the prime factors of 61305 and 61312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61305 and 61312.

How to find the GCF of 61305 and 61312?

We will first find the prime factorization of 61305 and 61312. After we will calculate the factors of 61305 and 61312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61312

Prime factors of 61312 are 2, 479. Prime factorization of 61312 in exponential form is:

61312 = 2⁷ × 479¹

Step-3: Factors of 61305

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

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

Step-4: Factors of 61312

List of positive integer factors of 61312 that divides 61305 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 479, 958, 1916, 3832, 7664, 15328, 30656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61305 and 61312. The biggest common factor number is the GCF number.
So the greatest common factor 61305 and 61312 is 1.

Also check out the Least Common Multiple of 61305 and 61312